Solve for c p(x)=cx^3-15x-68

$p (x) = c x^{3} - 15 x - 68$

Rewrite the equation as $c x^{3} - 15 x - 68 = p x$ .

$c x^{3} - 15 x - 68 = p x$

Move all terms not containing $c$ to the right side of the equation.

Add $15 x$ to both sides of the equation.

$c x^{3} - 68 = p x + 15 x$

Add $68$ to both sides of the equation.

$c x^{3} = p x + 15 x + 68$

Divide each term in $c x^{3} = p x + 15 x + 68$ by $x^{3}$ and simplify.

Divide each term in $c x^{3} = p x + 15 x + 68$ by $x^{3}$ .

$\frac{c x^{3}}{x^{3}} = \frac{p x}{x^{3}} + \frac{15 x}{x^{3}} + \frac{68}{x^{3}}$

Simplify the left side.

Cancel the common factor of $x^{3}$ .

Cancel the common factor.

$\frac{c x^{3}}{x^{3}} = \frac{p x}{x^{3}} + \frac{15 x}{x^{3}} + \frac{68}{x^{3}}$

Divide $c$ by $1$ .

$c = \frac{p x}{x^{3}} + \frac{15 x}{x^{3}} + \frac{68}{x^{3}}$

Simplify the right side.

Simplify each term.

Cancel the common factor of $x$ and $x^{3}$ .

Factor $x$ out of $p x$ .

$c = \frac{x p}{x^{3}} + \frac{15 x}{x^{3}} + \frac{68}{x^{3}}$

Cancel the common factors.

Factor $x$ out of $x^{3}$ .

$c = \frac{x p}{x \cdot x^{2}} + \frac{15 x}{x^{3}} + \frac{68}{x^{3}}$

Cancel the common factor.

$c = \frac{x p}{x \cdot x^{2}} + \frac{15 x}{x^{3}} + \frac{68}{x^{3}}$

Rewrite the expression.

$c = \frac{p}{x^{2}} + \frac{15 x}{x^{3}} + \frac{68}{x^{3}}$

Cancel the common factor of $x$ and $x^{3}$ .

Factor $x$ out of $15 x$ .

$c = \frac{p}{x^{2}} + \frac{x \cdot 15}{x^{3}} + \frac{68}{x^{3}}$

Cancel the common factors.

Factor $x$ out of $x^{3}$ .

$c = \frac{p}{x^{2}} + \frac{x \cdot 15}{x \cdot x^{2}} + \frac{68}{x^{3}}$

Cancel the common factor.

$c = \frac{p}{x^{2}} + \frac{x \cdot 15}{x \cdot x^{2}} + \frac{68}{x^{3}}$

Rewrite the expression.

$c = \frac{p}{x^{2}} + \frac{15}{x^{2}} + \frac{68}{x^{3}}$