Algebra Examples

$2 {(x - 4)}^{4}$

Step 1

Set $2 {(x - 4)}^{4}$ equal to $0$ .

$2 {(x - 4)}^{4} = 0$

Step 2

Solve for $x$ .

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Step 2.1

Divide each term in $2 {(x - 4)}^{4} = 0$ by $2$ and simplify.

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Step 2.1.1

Divide each term in $2 {(x - 4)}^{4} = 0$ by $2$ .

$\frac{2 {(x - 4)}^{4}}{2} = \frac{0}{2}$

Step 2.1.2

Simplify the left side.

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Step 2.1.2.1

Cancel the common factor of $2$ .

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Step 2.1.2.1.1

Cancel the common factor.

$\frac{2 {(x - 4)}^{4}}{2} = \frac{0}{2}$

Step 2.1.2.1.2

Divide ${(x - 4)}^{4}$ by $1$ .

${(x - 4)}^{4} = \frac{0}{2}$

Step 2.1.3

Simplify the right side.

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Step 2.1.3.1

Divide $0$ by $2$ .

${(x - 4)}^{4} = 0$

Step 2.2

Set the $x - 4$ equal to $0$ .

$x - 4 = 0$

Step 2.3

Add $4$ to both sides of the equation.

$x = 4$ (Multiplicity of $4$ )

Step 3