Trigonometry Examples

$182 = (\frac{1}{2} x) (2 x + 2)$

Step 1

Simplify $(\frac{1}{2} x) (2 x + 2)$ .

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Step 1.1

Simplify terms.

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Step 1.1.1

Combine $\frac{1}{2}$ and $x$ .

$182 = \frac{x}{2} (2 x + 2)$

Step 1.1.2

Apply the distributive property.

$182 = \frac{x}{2} (2 x) + \frac{x}{2} \cdot 2$

Step 1.1.3

Rewrite using the commutative property of multiplication.

$182 = 2 \frac{x}{2} x + \frac{x}{2} \cdot 2$

Step 1.1.4

Cancel the common factor of $2$ .

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Step 1.1.4.1

Cancel the common factor.

$182 = 2 \frac{x}{2} x + \frac{x}{2} \cdot 2$

Step 1.1.4.2

Rewrite the expression.

$182 = 2 \frac{x}{2} x + x$

Step 1.2

Simplify each term.

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Step 1.2.1

Cancel the common factor of $2$ .

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Step 1.2.1.1

Cancel the common factor.

$182 = 2 \frac{x}{2} x + x$

Step 1.2.1.2

Rewrite the expression.

$182 = x \cdot x + x$

Step 1.2.2

Multiply $x$ by $x$ .

$182 = x^{2} + x$

Step 2

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

$x \approx - 14, 13$

Step 3