Algebra Examples

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

Step 1

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

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

Step 2

Solve for $x$ .

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Step 2.1

Divide each term in $- {(x - 4)}^{2} = 0$ by $- 1$ and simplify.

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Step 2.1.1

Divide each term in $- {(x - 4)}^{2} = 0$ by $- 1$ .

$\frac{- {(x - 4)}^{2}}{- 1} = \frac{0}{- 1}$

Step 2.1.2

Simplify the left side.

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Step 2.1.2.1

Dividing two negative values results in a positive value.

$\frac{{(x - 4)}^{2}}{1} = \frac{0}{- 1}$

Step 2.1.2.2

Divide ${(x - 4)}^{2}$ by $1$ .

${(x - 4)}^{2} = \frac{0}{- 1}$

Step 2.1.3

Simplify the right side.

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Step 2.1.3.1

Divide $0$ by $- 1$ .

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

Step 2.2

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

$x - 4 = 0$

Step 2.3

Add $4$ to both sides of the equation.

$x = 4$

Step 3