Algebra Examples

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

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.

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Step 2.1

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

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

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $4$ .

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Step 2.2.1.1

Cancel the common factor.

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

Step 2.2.1.2

Rewrite the expression.

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

Step 2.2.2

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

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Step 2.2.2.1

Cancel the common factor.

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

Step 2.2.2.2

Divide $c$ by $1$ .

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

Step 2.3

Simplify the right side.

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Step 2.3.1

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

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Step 2.3.1.1

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

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

Step 2.3.1.2

Cancel the common factors.

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Step 2.3.1.2.1

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

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

Step 2.3.1.2.2

Cancel the common factor.

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

Step 2.3.1.2.3

Rewrite the expression.

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

Step 2.3.2

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

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Step 2.3.2.1

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

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

Step 2.3.2.2

Cancel the common factors.

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Step 2.3.2.2.1

Multiply by $1$ .

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

Step 2.3.2.2.2

Cancel the common factor.

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

Step 2.3.2.2.3

Rewrite the expression.

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

Step 2.3.2.2.4

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

$c = 3 x^{3}$