Algebra Examples

$A = \frac{1}{4} π d^{2} + π d h$

Step 1

Simplify $\frac{1}{4} \cdot (π d^{2}) + π d h$ .

Tap for more steps...

Multiply $\frac{1}{4} (π d^{2})$ .

Tap for more steps...

Combine $π$ and $\frac{1}{4}$ .

$A = \frac{π}{4} d^{2} + π d h$

Combine $\frac{π}{4}$ and $d^{2}$ .

$A = \frac{π d^{2}}{4} + π d h$

Reorder $\frac{π d^{2}}{4}$ and $π d h$ .

$A = π d h + \frac{π d^{2}}{4}$

Step 2

Solve the equation for $π$ .

Tap for more steps...

Multiply $\frac{1}{4} (π d^{2})$ .

Tap for more steps...

Combine $π$ and $\frac{1}{4}$ .

$π d h + \frac{π d^{2}}{4} = \frac{π}{4} d^{2} + π d h$

Combine $\frac{π}{4}$ and $d^{2}$ .

$π d h + \frac{π d^{2}}{4} = \frac{π d^{2}}{4} + π d h$

Move all terms not containing $`$ to the right side of the equation.

Tap for more steps...

Subtract $π d h$ from both sides of the equation.

$\frac{π d^{2}}{4} = \frac{π d^{2}}{4} + π d h - π d h$

Subtract $\frac{π d^{2}}{4}$ from both sides of the equation.

$0 = \frac{π d^{2}}{4} + π d h - π d h - \frac{π d^{2}}{4}$

Combine the opposite terms in $\frac{π d^{2}}{4} + π d h - π d h - \frac{π d^{2}}{4}$ .

Tap for more steps...

Subtract $π d h$ from $π d h$ .

$0 = \frac{π d^{2}}{4} + 0 - \frac{π d^{2}}{4}$

Add $\frac{π d^{2}}{4}$ and $0$ .

$0 = \frac{π d^{2}}{4} - \frac{π d^{2}}{4}$

Subtract $\frac{π d^{2}}{4}$ from $\frac{π d^{2}}{4}$ .

$0 = 0$

Since $0 = 0$ , the equation will always be true.

Always true