Solve for a x=2a-b^2

$x = 2 a - b^{2}$

Step 1

Rewrite the equation as $2 a - b^{2} = x$ .

$2 a - b^{2} = x$

Step 2

Add $b^{2}$ to both sides of the equation.

$2 a = x + b^{2}$

Step 3

Divide each term in $2 a = x + b^{2}$ by $2$ and simplify.

Divide each term in $2 a = x + b^{2}$ by $2$ .

$\frac{2 a}{2} = \frac{x}{2} + \frac{b^{2}}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 a}{2} = \frac{x}{2} + \frac{b^{2}}{2}$

Divide $a$ by $1$ .

$a = \frac{x}{2} + \frac{b^{2}}{2}$