Solve for x 5px+q^2=3c

$5 p x + q^{2} = 3 c$

Subtract $q^{2}$ from both sides of the equation.

$5 p x = 3 c - q^{2}$

Divide each term in $5 p x = 3 c - q^{2}$ by $5 p$ and simplify.

Divide each term in $5 p x = 3 c - q^{2}$ by $5 p$ .

$\frac{5 p x}{5 p} = \frac{3 c}{5 p} + \frac{- q^{2}}{5 p}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 p x}{5 p} = \frac{3 c}{5 p} + \frac{- q^{2}}{5 p}$

Rewrite the expression.

$\frac{p x}{p} = \frac{3 c}{5 p} + \frac{- q^{2}}{5 p}$

Cancel the common factor of $p$ .

Cancel the common factor.

$\frac{p x}{p} = \frac{3 c}{5 p} + \frac{- q^{2}}{5 p}$

Divide $x$ by $1$ .

$x = \frac{3 c}{5 p} + \frac{- q^{2}}{5 p}$

Simplify the right side.

Move the negative in front of the fraction.

$x = \frac{3 c}{5 p} - \frac{q^{2}}{5 p}$