Pre-Algebra Examples

$(x + 9) (x - 13) = 0$

Step 1

Simplify $(x + 9) (x - 13)$ .

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Step 1.1

Expand $(x + 9) (x - 13)$ using the FOIL Method.

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Step 1.1.1

Apply the distributive property.

$x (x - 13) + 9 (x - 13) = 0$

Step 1.1.2

Apply the distributive property.

$x \cdot x + x \cdot - 13 + 9 (x - 13) = 0$

Step 1.1.3

Apply the distributive property.

$x \cdot x + x \cdot - 13 + 9 x + 9 \cdot - 13 = 0$

Step 1.2

Simplify and combine like terms.

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Step 1.2.1

Simplify each term.

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Step 1.2.1.1

Multiply $x$ by $x$ .

$x^{2} + x \cdot - 13 + 9 x + 9 \cdot - 13 = 0$

Step 1.2.1.2

Move $- 13$ to the left of $x$ .

$x^{2} - 13 \cdot x + 9 x + 9 \cdot - 13 = 0$

Step 1.2.1.3

Multiply $9$ by $- 13$ .

$x^{2} - 13 x + 9 x - 117 = 0$

Step 1.2.2

Add $- 13 x$ and $9 x$ .

$x^{2} - 4 x - 117 = 0$

Step 2

Graph each side of the equation. The solution is the x-value of the point of intersection.

$x \approx - 9, 13$

Step 3