Finite Math Examples

$f (x) = - 2 | x + 1 |$

Step 1

Set $- 2 | x + 1 |$ equal to $0$ .

$- 2 | x + 1 | = 0$

Step 2

Solve for $x$ .

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Step 2.1

Divide each term in $- 2 | x + 1 | = 0$ by $- 2$ and simplify.

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Step 2.1.1

Divide each term in $- 2 | x + 1 | = 0$ by $- 2$ .

$\frac{- 2 | x + 1 |}{- 2} = \frac{0}{- 2}$

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.

$\frac{- 2 | x + 1 |}{- 2} = \frac{0}{- 2}$

Step 2.1.2.1.2

Divide $| x + 1 |$ by $1$ .

$| x + 1 | = \frac{0}{- 2}$

Step 2.1.3

Simplify the right side.

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Step 2.1.3.1

Divide $0$ by $- 2$ .

$| x + 1 | = 0$

Step 2.2

Remove the absolute value term. This creates a $\pm$ on the right side of the equation because $| x | = \pm x$ .

$x + 1 = \pm 0$

Step 2.3

Plus or minus $0$ is $0$ .

$x + 1 = 0$

Step 2.4

Subtract $1$ from both sides of the equation.

$x = - 1$

Step 3