Datrys 5(1029*12)(38*12)^4/384(29000)x=38*12/240

$$\frac { 5 ( 1029 \times 12 ) ( 38 \times 12 ) ^ { 4 } } { 384 ( 29000 ) x } = \frac { 38 \times 12 } { 240 }$$

Datrys ar gyfer x

$$x = \frac{18294105312}{145} = 126166243\frac{77}{145} \approx 126166243.531034483$$

Camau ar gyfer Datrys Hafaliad Llinol

All y newidyn x ddim fod yn hafal i 0 gan nad ydy rhannu â sero wedi’i ddiffinio. Lluoswch ddwy ochr yr hafaliad wrth 11136000x, lluoswm cyffredin lleiaf 384\times 29000x,240.

$$5\times 1029\times 12\times \left(38\times 12\right)^{4}=46400x\times 38\times 12$$

Lluosi 5 a 1029 i gael 5145.

$$5145\times 12\times \left(38\times 12\right)^{4}=46400x\times 38\times 12$$

Lluosi 5145 a 12 i gael 61740.

$$61740\times \left(38\times 12\right)^{4}=46400x\times 38\times 12$$

Lluosi 38 a 12 i gael 456.

$$61740\times 456^{4}=46400x\times 38\times 12$$

Cyfrifo 456 i bŵer 4 a chael 43237380096.

$$61740\times 43237380096=46400x\times 38\times 12$$

Lluosi 61740 a 43237380096 i gael 2669475847127040.

$$2669475847127040=46400x\times 38\times 12$$

Lluosi 46400 a 38 i gael 1763200.

$$2669475847127040=1763200x\times 12$$

Lluosi 1763200 a 12 i gael 21158400.

$$2669475847127040=21158400x$$

Cyfnewidiwch yr ochrau fel bod yr holl dermau newidiol ar yr ochr chwith.

$$21158400x=2669475847127040$$

Rhannu’r ddwy ochr â 21158400.

$$x=\frac{2669475847127040}{21158400}$$

Lleihau'r ffracsiwn \frac{2669475847127040}{21158400} i'r graddau lleiaf posib drwy dynnu a chanslo allan 145920.

$$x=\frac{18294105312}{145}$$