Datrys x-29/1970+x-27/1972+x-25/1974+x-23/1976+frac{x-1970}{29}+frac{x-1972}{27}+frac{x-1974}{25}+frac{x-1976}{23}-8=0

$$\frac { x - 29 } { 1970 } + \frac { x - 27 } { 1972 } + \frac { x - 25 } { 1974 } + \frac { x - 23 } { 1976 } + \frac { x - 1970 } { 29 } + \frac { x - 1972 } { 27 } + \frac { x - 1974 } { 25 } + \frac { x - 1976 } { 23 } - 8 = 0$$

Datrys ar gyfer x

$$x=1999$$

Camau ar gyfer Datrys Hafaliad Llinol

Lluoswch ddwy ochr yr hafaliad wrth 980229102816600, lluoswm cyffredin lleiaf 1970,1972,1974,1976,29,27,25,23.

$$497578224780\left(x-29\right)[phone]\left(x-27\right)[phone]\left(x-25\right)[phone]\left(x-23\right)[phone]\left(x-1970\right)[phone]\left(x-1972\right)[phone]\left(x-1974\right)[phone]\left(x-1976\right)-7841832822532800=0$$

Defnyddio’r briodwedd ddosbarthu i luosi 497578224780 â x-29.

$$497578224780x-14429768518620+497073581550\left(x-27\right)[phone]\left(x-25\right)[phone]\left(x-23\right)[phone]\left(x-1970\right)[phone]\left(x-1972\right)[phone]\left(x-1974\right)[phone]\left(x-1976\right)-7841832822532800=0$$

Defnyddio’r briodwedd ddosbarthu i luosi 497073581550 â x-27.

$$497578224780x-14429768518620+497073581550x-13420986701850+496569960900\left(x-25\right)[phone]\left(x-23\right)[phone]\left(x-1970\right)[phone]\left(x-1972\right)[phone]\left(x-1974\right)[phone]\left(x-1976\right)-7841832822532800=0$$

Cyfuno 497578224780x a 497073581550x i gael 994651806330x.

$$994651806330x-14429768518620-13420986701850+496569960900\left(x-25\right)[phone]\left(x-23\right)[phone]\left(x-1970\right)[phone]\left(x-1972\right)[phone]\left(x-1974\right)[phone]\left(x-1976\right)-7841832822532800=0$$

Tynnu 13420986701850 o -14429768518620 i gael -27850755220470.

$$994651806330x-27850755220470+496569960900\left(x-25\right)[phone]\left(x-23\right)[phone]\left(x-1970\right)[phone]\left(x-1972\right)[phone]\left(x-1974\right)[phone]\left(x-1976\right)-7841832822532800=0$$

Defnyddio’r briodwedd ddosbarthu i luosi 496569960900 â x-25.

$$994651806330x-27850755220470+496569960900x-12414249022500+496067359725\left(x-23\right)[phone]\left(x-1970\right)[phone]\left(x-1972\right)[phone]\left(x-1974\right)[phone]\left(x-1976\right)-7841832822532800=0$$

Cyfuno 994651806330x a 496569960900x i gael 1491221767230x.

$$1491221767230x-27850755220470-12414249022500+496067359725\left(x-23\right)[phone]\left(x-1970\right)[phone]\left(x-1972\right)[phone]\left(x-1974\right)[phone]\left(x-1976\right)-7841832822532800=0$$

Tynnu 12414249022500 o -27850755220470 i gael -40265004242970.

$$1491221767230x-40265004242970+496067359725\left(x-23\right)[phone]\left(x-1970\right)[phone]\left(x-1972\right)[phone]\left(x-1974\right)[phone]\left(x-1976\right)-7841832822532800=0$$

Defnyddio’r briodwedd ddosbarthu i luosi 496067359725 â x-23.

$$1491221767230x-40265004242970+496067359725x-11409549273675+33801003545400\left(x-1970\right)[phone]\left(x-1972\right)[phone]\left(x-1974\right)[phone]\left(x-1976\right)-7841832822532800=0$$

Cyfuno 1491221767230x a 496067359725x i gael 1987289126955x.

$$1987289126955x-40265004242970-11409549273675+33801003545400\left(x-1970\right)[phone]\left(x-1972\right)[phone]\left(x-1974\right)[phone]\left(x-1976\right)-7841832822532800=0$$

Tynnu 11409549273675 o -40265004242970 i gael -51674553516645.

$$1987289126955x-51674553516645+33801003545400\left(x-1970\right)[phone]\left(x-1972\right)[phone]\left(x-1974\right)[phone]\left(x-1976\right)-7841832822532800=0$$

Defnyddio’r briodwedd ddosbarthu i luosi 33801003545400 â x-1970.

$$1987289126955x-51674553516645+33801003545400x-66587976984438000+36304781585800\left(x-1972\right)[phone]\left(x-1974\right)[phone]\left(x-1976\right)-7841832822532800=0$$

Cyfuno 1987289126955x a 33801003545400x i gael 35788292672355x.

$$35788292672355x-51674553516645-66587976984438000+36304781585800\left(x-1972\right)[phone]\left(x-1974\right)[phone]\left(x-1976\right)-7841832822532800=0$$

Tynnu 66587976984438000 o -51674553516645 i gael -66639651537954645.

$$35788292672355x-66639651537954645+36304781585800\left(x-1972\right)[phone]\left(x-1974\right)[phone]\left(x-1976\right)-7841832822532800=0$$

Defnyddio’r briodwedd ddosbarthu i luosi 36304781585800 â x-1972.

$$35788292672355x-66639651537954645+36304781585800x-71593029287197600+39209164112664\left(x-1974\right)[phone]\left(x-1976\right)-7841832822532800=0$$

Cyfuno 35788292672355x a 36304781585800x i gael 72093074258155x.

$$72093074258155x-66639651537954645-71593029287197600+39209164112664\left(x-1974\right)[phone]\left(x-1976\right)-7841832822532800=0$$

Tynnu 71593029287197600 o -66639651537954645 i gael -138232680825152245.

$$72093074258155x-138232680825152245+39209164112664\left(x-1974\right)[phone]\left(x-1976\right)-7841832822532800=0$$

Defnyddio’r briodwedd ddosbarthu i luosi 39209164112664 â x-1974.

$$72093074258155x-138232680825152245+39209164112664x-77398889958398736+42618656644200\left(x-1976\right)-7841832822532800=0$$

Cyfuno 72093074258155x a 39209164112664x i gael 111302238370819x.

$$111302238370819x-138232680825152245-77398889958398736+42618656644200\left(x-1976\right)-7841832822532800=0$$

Tynnu 77398889958398736 o -138232680825152245 i gael -215631570783550981.

$$111302238370819x-215631570783550981+42618656644200\left(x-1976\right)-7841832822532800=0$$

Defnyddio’r briodwedd ddosbarthu i luosi 42618656644200 â x-1976.

$$111302238370819x-215631570783550981+42618656644200x-84214465528939200-7841832822532800=0$$

Cyfuno 111302238370819x a 42618656644200x i gael 153920895015019x.

$$153920895015019x-215631570783550981-84214465528939200-7841832822532800=0$$

Tynnu 84214465528939200 o -215631570783550981 i gael -299846036312490181.

$$153920895015019x-299846036312490181-7841832822532800=0$$

Tynnu 7841832822532800 o -299846036312490181 i gael -307687869135022981.

$$153920895015019x-307687869135022981=0$$

Ychwanegu 307687869135022981 at y ddwy ochr. Mae adio unrhyw beth at sero yn cyrraedd ei swm ei hun.

$$153920895015019x=307687869135022981$$

Rhannu’r ddwy ochr â 153920895015019.

$$x=\frac{307687869135022981}{153920895015019}$$

Rhannu 307687869135022981 â 153920895015019 i gael 1999.

$$x=1999$$