Algebra Examples

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

Step 1

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

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

Step 2

Multiply both sides of the equation by $2$ .

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

Step 3

Simplify the left side.

Tap for more steps...

Step 3.1

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

Tap for more steps...

Step 3.1.1

Apply the distributive property.

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

Step 3.1.2

Apply the distributive property.

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

Step 3.1.3

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

Tap for more steps...

Step 3.1.3.1

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

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

Step 3.1.3.2

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

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

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

Step 3.1.4

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

Tap for more steps...

Step 3.1.4.1

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

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

Step 3.1.4.2

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

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

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

Step 3.1.5

Apply the distributive property.

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

Step 3.1.6

Cancel the common factor of $2$ .

Tap for more steps...

Step 3.1.6.1

Cancel the common factor.

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

Step 3.1.6.2

Rewrite the expression.

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

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

Step 3.1.7

Cancel the common factor of $2$ .

Tap for more steps...

Step 3.1.7.1

Cancel the common factor.

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

Step 3.1.7.2

Rewrite the expression.

$a h + b h = 2 A$

$a h + b h = 2 A$

$a h + b h = 2 A$

$a h + b h = 2 A$

Step 4

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

$a h = 2 A - b h$

Step 5

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

Tap for more steps...

Step 5.1

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

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

Step 5.2

Simplify the left side.

Tap for more steps...

Step 5.2.1

Cancel the common factor of $h$ .

Tap for more steps...

Step 5.2.1.1

Cancel the common factor.

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

Step 5.2.1.2

Divide $a$ by $1$ .

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

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

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

Step 5.3

Simplify the right side.

Tap for more steps...

Step 5.3.1

Cancel the common factor of $h$ .

Tap for more steps...

Step 5.3.1.1

Cancel the common factor.

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

Step 5.3.1.2

Divide $- b$ by $1$ .

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

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

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

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

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