Finite Math Examples

$h (x) = (x - 2 (2 x + 3))$

Step 1

Set $x - 2 (2 x + 3)$ equal to $0$ .

$x - 2 (2 x + 3) = 0$

Step 2

Solve for $x$ .

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Step 2.1

Simplify $x - 2 (2 x + 3)$ .

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Step 2.1.1

Simplify each term.

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Step 2.1.1.1

Apply the distributive property.

$x - 2 (2 x) - 2 \cdot 3 = 0$

Step 2.1.1.2

Multiply $2$ by $- 2$ .

$x - 4 x - 2 \cdot 3 = 0$

Step 2.1.1.3

Multiply $- 2$ by $3$ .

$x - 4 x - 6 = 0$

$x - 4 x - 6 = 0$

Step 2.1.2

Subtract $4 x$ from $x$ .

$- 3 x - 6 = 0$

$- 3 x - 6 = 0$

Step 2.2

Add $6$ to both sides of the equation.

$- 3 x = 6$

Step 2.3

Divide each term in $- 3 x = 6$ by $- 3$ and simplify.

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Step 2.3.1

Divide each term in $- 3 x = 6$ by $- 3$ .

$\frac{- 3 x}{- 3} = \frac{6}{- 3}$

Step 2.3.2

Simplify the left side.

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Step 2.3.2.1

Cancel the common factor of $- 3$ .

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Step 2.3.2.1.1

Cancel the common factor.

$\frac{- 3 x}{- 3} = \frac{6}{- 3}$

Step 2.3.2.1.2

Divide $x$ by $1$ .

$x = \frac{6}{- 3}$

$x = \frac{6}{- 3}$

$x = \frac{6}{- 3}$

Step 2.3.3

Simplify the right side.

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Step 2.3.3.1

Divide $6$ by $- 3$ .

$x = - 2$

$x = - 2$

$x = - 2$

$x = - 2$

Step 3

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