Datrys (4)^22(2x-1)/0.01-2.5=0.220x/0.2-3.5

$$( 4 ) ^ { 2 } \frac { 2 ( 2 x - 1 ) } { 0.01 } - 2.5 = \frac { 0.220 x } { 0.2 } - 3.5$$

Datrys ar gyfer x

$$x=\frac{31990}{63989}\approx 0.499929675$$

Camau ar gyfer Datrys Hafaliad Llinol

Cyfrifo 4 i bŵer 2 a chael 16.

$$16\times \frac{2\left(2x-1\right)}{0.01}-2.5=\frac{0.22x}{0.2}-3.5$$

Defnyddio’r briodwedd ddosbarthu i luosi 2 â 2x-1.

$$16\times \frac{4x-2}{0.01}-2.5=\frac{0.22x}{0.2}-3.5$$

Rhannu 0.22x â 0.2 i gael 1.1x.

$$16\times \frac{4x-2}{0.01}-2.5=1.1x-3.5$$

Rhannu pob term 4x-2 â 0.01 i gael \frac{4x}{0.01}+\frac{-2}{0.01}.

$$16\left(\frac{4x}{0.01}+\frac{-2}{0.01}\right)-2.5=1.1x-3.5$$

Rhannu 4x â 0.01 i gael 400x.

$$16\left(400x+\frac{-2}{0.01}\right)-2.5=1.1x-3.5$$

Ehangu \frac{-2}{0.01} drwy luosi'r rhifiadur a'r enwadur gyda 100. Mae rhannu unrhyw beth ag un yn rhoi'r rhif hwnnw.

$$16\left(400x-200\right)-2.5=1.1x-3.5$$

Defnyddio’r briodwedd ddosbarthu i luosi 16 â 400x-200.

$$6400x-3200-2.5=1.1x-3.5$$

Tynnu 2.5 o -3200 i gael -3202.5.

$$6400x-3202.5=1.1x-3.5$$

Tynnu 1.1x o'r ddwy ochr.

$$6400x-3202.5-1.1x=-3.5$$

Cyfuno 6400x a -1.1x i gael 6398.9x.

$$6398.9x-3202.5=-3.5$$

Ychwanegu 3202.5 at y ddwy ochr.

$$6398.9x=-3.5+3202.5$$

Adio -3.5 a 3202.5 i gael 3199.

$$6398.9x=3199$$

Rhannu’r ddwy ochr â 6398.9.

$$x=\frac{3199}{6398.9}$$

Ehangu \frac{3199}{6398.9} drwy luosi'r rhifiadur a'r enwadur gyda 10.

$$x=\frac{31990}{63989}$$