Pre-Algebra Examples

$280^{2} = (x + 3) (x - 2)$

Step 1

Raise $280$ to the power of $2$ .

$78400 = (x + 3) (x - 2)$

Step 2

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

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Step 2.1

Expand $(x + 3) (x - 2)$ using the FOIL Method.

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Step 2.1.1

Apply the distributive property.

$78400 = x (x - 2) + 3 (x - 2)$

Step 2.1.2

Apply the distributive property.

$78400 = x \cdot x + x \cdot - 2 + 3 (x - 2)$

Step 2.1.3

Apply the distributive property.

$78400 = x \cdot x + x \cdot - 2 + 3 x + 3 \cdot - 2$

Step 2.2

Simplify and combine like terms.

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Step 2.2.1

Simplify each term.

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Step 2.2.1.1

Multiply $x$ by $x$ .

$78400 = x^{2} + x \cdot - 2 + 3 x + 3 \cdot - 2$

Step 2.2.1.2

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

$78400 = x^{2} - 2 \cdot x + 3 x + 3 \cdot - 2$

Step 2.2.1.3

Multiply $3$ by $- 2$ .

$78400 = x^{2} - 2 x + 3 x - 6$

Step 2.2.2

Add $- 2 x$ and $3 x$ .

$78400 = x^{2} + x - 6$

Step 3

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

No solution

Step 4