Algebra Examples

A = \frac{1}{2} b h

$A = \frac{1}{2} b h$ for

h

$h$

Step 1

Rewrite the equation as

\frac{1}{2} \cdot (b h) = A

$\frac{1}{2} \cdot (b h) = A$ .

\frac{1}{2} \cdot (b h) = A

$\frac{1}{2} \cdot (b h) = A$

Step 2

Multiply both sides of the equation by

2

$2$ .

2 (\frac{1}{2} \cdot (b h)) = 2 A

$2 (\frac{1}{2} \cdot (b h)) = 2 A$

Step 3

Simplify the left side.

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Step 3.1

Simplify

2 (\frac{1}{2} \cdot (b h))

$2 (\frac{1}{2} \cdot (b h))$ .

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Step 3.1.1

Multiply

\frac{1}{2} (b h)

$\frac{1}{2} (b h)$ .

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Step 3.1.1.1

Combine

b

$b$ and

\frac{1}{2}

$\frac{1}{2}$ .

2 (\frac{b}{2} h) = 2 A

$2 (\frac{b}{2} h) = 2 A$

Step 3.1.1.2

Combine

\frac{b}{2}

$\frac{b}{2}$ and

h

$h$ .

2 \frac{b h}{2} = 2 A

$2 \frac{b h}{2} = 2 A$

2 \frac{b h}{2} = 2 A

$2 \frac{b h}{2} = 2 A$

Step 3.1.2

Cancel the common factor of

2

$2$ .

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Step 3.1.2.1

Cancel the common factor.

$2 \frac{b h}{2} = 2 A$

Step 3.1.2.2

Rewrite the expression.

$b h = 2 A$

$b h = 2 A$

$b h = 2 A$

$b h = 2 A$

Step 4

Divide each term in

$b h = 2 A$ by

$b$ and simplify.

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Step 4.1

Divide each term in

$b h = 2 A$ by

$b$ .

$\frac{b h}{b} = \frac{2 A}{b}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of

$b$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{b h}{b} = \frac{2 A}{b}$

Step 4.2.1.2

Divide

$h$ by

$1$ .

$h = \frac{2 A}{b}$

$h = \frac{2 A}{b}$

$h = \frac{2 A}{b}$

$h = \frac{2 A}{b}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$