Solve 2/3{left(sqrt{a}right)}^2=126/3-2/3

$$\frac{ 2 }{ 3 } { \left( \sqrt{ a } \right) }^{ 2 } = \frac{ 126 }{ 3 } - \frac{ 2 }{ 3 }$$

Solve for a

$$a=62$$

Steps for Solving Linear Equation

Calculate \sqrt{a} to the power of 2 and get a.

$$\frac{2}{3}a=\frac{126}{3}-\frac{2}{3}$$

Divide 126 by 3 to get 42.

$$\frac{2}{3}a=42-\frac{2}{3}$$

Subtract \frac{2}{3} from 42 to get \frac{124}{3}.

$$\frac{2}{3}a=\frac{124}{3}$$

Multiply both sides by \frac{3}{2}, the reciprocal of \frac{2}{3}.

$$a=\frac{124}{3}\times \frac{3}{2}$$

Multiply \frac{124}{3} and \frac{3}{2} to get 62.

$$a=62$$