Finite Math Examples

$9 x - 4 x (7 - 6 (x + 2))$

Step 1

Simplify each term.

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$9 x - 4 x (7 - 6 x - 6 \cdot 2)$

Step 1.1.2

Multiply $- 6$ by $2$ .

$9 x - 4 x (7 - 6 x - 12)$

$9 x - 4 x (7 - 6 x - 12)$

Step 1.2

Subtract $12$ from $7$ .

$9 x - 4 x (- 6 x - 5)$

Step 1.3

Apply the distributive property.

$9 x - 4 x (- 6 x) - 4 x \cdot - 5$

Step 1.4

Rewrite using the commutative property of multiplication.

$9 x - 4 \cdot - 6 x \cdot x - 4 x \cdot - 5$

Step 1.5

Multiply $- 5$ by $- 4$ .

$9 x - 4 \cdot - 6 x \cdot x + 20 x$

Step 1.6

Simplify each term.

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Step 1.6.1

Multiply $x$ by $x$ by adding the exponents.

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Step 1.6.1.1

Move $x$ .

$9 x - 4 \cdot - 6 (x \cdot x) + 20 x$

Step 1.6.1.2

Multiply $x$ by $x$ .

$9 x - 4 \cdot - 6 x^{2} + 20 x$

$9 x - 4 \cdot - 6 x^{2} + 20 x$

Step 1.6.2

Multiply $- 4$ by $- 6$ .

$9 x + 24 x^{2} + 20 x$

$9 x + 24 x^{2} + 20 x$

$9 x + 24 x^{2} + 20 x$

Step 2

Add $9 x$ and $20 x$ .

$24 x^{2} + 29 x$

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