Solve 2/3a=6x+5^2

$$\frac { 2 } { 3 } a = 6 x + 5 ^ { 2 }$$

Solve for a

$$a=9x+\frac{75}{2}$$

Steps for Solving Linear Equation

Calculate 5 to the power of 2 and get 25.

$$\frac{2}{3}a=6x+25$$

Divide both sides of the equation by \frac{2}{3}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{2}{3}a}{\frac{2}{3}}=\frac{6x+25}{\frac{2}{3}}$$

Dividing by \frac{2}{3} undoes the multiplication by \frac{2}{3}.

$$a=\frac{6x+25}{\frac{2}{3}}$$

Divide 6x+25 by \frac{2}{3} by multiplying 6x+25 by the reciprocal of \frac{2}{3}.

$$a=9x+\frac{75}{2}$$

Solve for x

$$x=\frac{a}{9}-\frac{25}{6}$$

Steps for Solving Linear Equation

Calculate 5 to the power of 2 and get 25.

$$\frac{2}{3}a=6x+25$$

Swap sides so that all variable terms are on the left hand side.

$$6x+25=\frac{2}{3}a$$

Subtract 25 from both sides.

$$6x=\frac{2}{3}a-25$$

The equation is in standard form.

$$6x=\frac{2a}{3}-25$$

Divide both sides by 6.

$$\frac{6x}{6}=\frac{\frac{2a}{3}-25}{6}$$

Dividing by 6 undoes the multiplication by 6.

$$x=\frac{\frac{2a}{3}-25}{6}$$

Divide \frac{2a}{3}-25 by 6.

$$x=\frac{a}{9}-\frac{25}{6}$$