Algebra Examples

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

Step 1

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

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

Step 2

Multiply both sides of the equation by $2$ .

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

Step 3

Simplify the left side.

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Step 3.1

Simplify $2 \frac{(B + b) h}{2}$ .

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Step 3.1.1

Cancel the common factor of $2$ .

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Step 3.1.1.1

Cancel the common factor.

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

Step 3.1.1.2

Rewrite the expression.

$(B + b) h = 2 A$

$(B + b) h = 2 A$

Step 3.1.2

Apply the distributive property.

$B h + b h = 2 A$

$B h + b h = 2 A$

$B h + b h = 2 A$

Step 4

Subtract $B h$ from both sides of the equation.

$b h = 2 A - B h$

Step 5

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

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Step 5.1

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

$\frac{b h}{h} = \frac{2 A}{h} + \frac{- B h}{h}$

Step 5.2

Simplify the left side.

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Step 5.2.1

Cancel the common factor of $h$ .

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Step 5.2.1.1

Cancel the common factor.

$\frac{b h}{h} = \frac{2 A}{h} + \frac{- B h}{h}$

Step 5.2.1.2

Divide $b$ by $1$ .

$b = \frac{2 A}{h} + \frac{- B h}{h}$

$b = \frac{2 A}{h} + \frac{- B h}{h}$

$b = \frac{2 A}{h} + \frac{- B h}{h}$

Step 5.3

Simplify the right side.

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Step 5.3.1

Cancel the common factor of $h$ .

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Step 5.3.1.1

Cancel the common factor.

$b = \frac{2 A}{h} + \frac{- B h}{h}$

Step 5.3.1.2

Divide $- B$ by $1$ .

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

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

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

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

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