Finite Math Examples

$12 x^{5} = 1 x^{5}$

Step 1

Multiply $x^{5}$ by $1$ .

$12 x^{5} = x^{5}$

Step 2

Move all terms containing $x$ to the left side of the equation.

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Step 2.1

Subtract $x^{5}$ from both sides of the equation.

$12 x^{5} - x^{5} = 0$

Step 2.2

Subtract $x^{5}$ from $12 x^{5}$ .

$11 x^{5} = 0$

Step 3

Divide each term in $11 x^{5} = 0$ by $11$ and simplify.

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Step 3.1

Divide each term in $11 x^{5} = 0$ by $11$ .

$\frac{11 x^{5}}{11} = \frac{0}{11}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $11$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{11 x^{5}}{11} = \frac{0}{11}$

Step 3.2.1.2

Divide $x^{5}$ by $1$ .

$x^{5} = \frac{0}{11}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Divide $0$ by $11$ .

$x^{5} = 0$

Step 4

Take the specified root of both sides of the equation to eliminate the exponent on the left side.

$x = \sqrt[5]{0}$

Step 5

Simplify $\sqrt[5]{0}$ .

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Step 5.1

Rewrite $0$ as $0^{5}$ .

$x = \sqrt[5]{0^{5}}$

Step 5.2

Pull terms out from under the radical, assuming real numbers.

$x = 0$