Trigonometry Examples

$150 = \frac{1}{2} x \cdot 400^{2}$

Step 1

Since $x$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$\frac{1}{2} x \cdot 400^{2} = 150$

Step 2

Simplify $\frac{1}{2} x \cdot 400^{2}$ .

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Step 2.1

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

$\frac{x}{2} \cdot 400^{2} = 150$

Step 2.2

Raise $400$ to the power of $2$ .

$\frac{x}{2} \cdot 160000 = 150$

Step 2.3

Cancel the common factor of $2$ .

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Step 2.3.1

Factor $2$ out of $160000$ .

$\frac{x}{2} \cdot (2 (80000)) = 150$

Step 2.3.2

Cancel the common factor.

$\frac{x}{2} \cdot (2 \cdot 80000) = 150$

Step 2.3.3

Rewrite the expression.

$x \cdot 80000 = 150$

Step 2.4

Move $80000$ to the left of $x$ .

$80000 x = 150$

Step 3

Divide each term in $80000 x = 150$ by $80000$ and simplify.

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Step 3.1

Divide each term in $80000 x = 150$ by $80000$ .

$\frac{80000 x}{80000} = \frac{150}{80000}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $80000$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{80000 x}{80000} = \frac{150}{80000}$

Step 3.2.1.2

Divide $x$ by $1$ .

$x = \frac{150}{80000}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Cancel the common factor of $150$ and $80000$ .

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Step 3.3.1.1

Factor $50$ out of $150$ .

$x = \frac{50 (3)}{80000}$

Step 3.3.1.2

Cancel the common factors.

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Step 3.3.1.2.1

Factor $50$ out of $80000$ .

$x = \frac{50 \cdot 3}{50 \cdot 1600}$

Step 3.3.1.2.2

Cancel the common factor.

$x = \frac{50 \cdot 3}{50 \cdot 1600}$

Step 3.3.1.2.3

Rewrite the expression.

$x = \frac{3}{1600}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = \frac{3}{1600}$

Decimal Form:

$x = 0.001875$