Solve for c 12x^5=(4x^2)(c)

$12 x^{5} = (4 x^{2}) (c)$

Step 1

Rewrite the equation as $4 x^{2} c = 12 x^{5}$ .

$4 x^{2} c = 12 x^{5}$

Step 2

Divide each term in $4 x^{2} c = 12 x^{5}$ by $4 x^{2}$ and simplify.

Divide each term in $4 x^{2} c = 12 x^{5}$ by $4 x^{2}$ .

$\frac{4 x^{2} c}{4 x^{2}} = \frac{12 x^{5}}{4 x^{2}}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 x^{2} c}{4 x^{2}} = \frac{12 x^{5}}{4 x^{2}}$

Rewrite the expression.

$\frac{x^{2} c}{x^{2}} = \frac{12 x^{5}}{4 x^{2}}$

Cancel the common factor of $x^{2}$ .

Cancel the common factor.

$\frac{x^{2} c}{x^{2}} = \frac{12 x^{5}}{4 x^{2}}$

Divide $c$ by $1$ .

$c = \frac{12 x^{5}}{4 x^{2}}$

Simplify the right side.

Cancel the common factor of $12$ and $4$ .

Factor $4$ out of $12 x^{5}$ .

$c = \frac{4 (3 x^{5})}{4 x^{2}}$

Cancel the common factors.

Factor $4$ out of $4 x^{2}$ .

$c = \frac{4 (3 x^{5})}{4 (x^{2})}$

Cancel the common factor.

$c = \frac{4 (3 x^{5})}{4 x^{2}}$

Rewrite the expression.

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

Cancel the common factor of $x^{5}$ and $x^{2}$ .

Factor $x^{2}$ out of $3 x^{5}$ .

$c = \frac{x^{2} (3 x^{3})}{x^{2}}$

Cancel the common factors.

Multiply by $1$ .

$c = \frac{x^{2} (3 x^{3})}{x^{2} \cdot 1}$

Cancel the common factor.

$c = \frac{x^{2} (3 x^{3})}{x^{2} \cdot 1}$

Rewrite the expression.

$c = \frac{3 x^{3}}{1}$

Divide $3 x^{3}$ by $1$ .

$c = 3 x^{3}$