Pre-Algebra Examples

$(x - 6) (x + 2) = 0$

Step 1

Simplify $(x - 6) (x + 2)$ .

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Step 1.1

Expand $(x - 6) (x + 2)$ using the FOIL Method.

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Step 1.1.1

Apply the distributive property.

$x (x + 2) - 6 (x + 2) = 0$

Step 1.1.2

Apply the distributive property.

$x \cdot x + x \cdot 2 - 6 (x + 2) = 0$

Step 1.1.3

Apply the distributive property.

$x \cdot x + x \cdot 2 - 6 x - 6 \cdot 2 = 0$

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 $x$ .

$x^{2} + x \cdot 2 - 6 x - 6 \cdot 2 = 0$

Step 1.2.1.2

Move $2$ to the left of $x$ .

$x^{2} + 2 \cdot x - 6 x - 6 \cdot 2 = 0$

Step 1.2.1.3

Multiply $- 6$ by $2$ .

$x^{2} + 2 x - 6 x - 12 = 0$

Step 1.2.2

Subtract $6 x$ from $2 x$ .

$x^{2} - 4 x - 12 = 0$

Step 2

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

$x = - 2, 6$

Step 3