Finite Math Examples

h (x) = | 2 x |

$h (x) = | 2 x |$

Step 1

Set

| 2 x |

$| 2 x |$ equal to

0

$0$ .

| 2 x | = 0

$| 2 x | = 0$

Step 2

Solve for

x

$x$ .

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Step 2.1

Remove the absolute value term. This creates a

\pm

$\pm$ on the right side of the equation because

| x | = \pm x

$| x | = \pm x$ .

2 x = \pm 0

$2 x = \pm 0$

Step 2.2

Plus or minus

0

$0$ is

0

$0$ .

2 x = 0

$2 x = 0$

Step 2.3

Divide each term in

2 x = 0

$2 x = 0$ by

2

$2$ and simplify.

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Step 2.3.1

Divide each term in

2 x = 0

$2 x = 0$ by

2

$2$ .

\frac{2 x}{2} = \frac{0}{2}

$\frac{2 x}{2} = \frac{0}{2}$

Step 2.3.2

Simplify the left side.

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Step 2.3.2.1

Cancel the common factor of

2

$2$ .

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Step 2.3.2.1.1

Cancel the common factor.

$\frac{2 x}{2} = \frac{0}{2}$

Step 2.3.2.1.2

Divide

$x$ by

$1$ .

$x = \frac{0}{2}$

$x = \frac{0}{2}$

$x = \frac{0}{2}$

Step 2.3.3

Simplify the right side.

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Step 2.3.3.1

Divide

$0$ by

$2$ .

$x = 0$

$x = 0$

$x = 0$

$x = 0$

Step 3

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$