Algebra Examples

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

Step 1

Rewrite the equation as $\frac{1}{2} \cdot (b h) = A$ .

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

Step 2

Multiply both sides of the equation by $2$ .

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

Step 3

Simplify the left side.

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Step 3.1

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

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Step 3.1.1

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

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Step 3.1.1.1

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

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

Step 3.1.1.2

Combine $\frac{b}{2}$ and $h$ .

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

Step 3.1.2

Cancel the common factor of $2$ .

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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.

$b h = 2 A$

Step 4

Divide each term in $b h = 2 A$ by $h$ and simplify.

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Step 4.1

Divide each term in $b h = 2 A$ by $h$ .

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

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $h$ .

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Step 4.2.1.1

Cancel the common factor.

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

Step 4.2.1.2

Divide $b$ by $1$ .

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