Finite Math Examples

$w = \frac{s (s - a)}{a}$

Step 1

Subtract $\frac{s (s - a)}{a}$ from both sides of the equation.

$w - \frac{s (s - a)}{a} = 0$

Step 2

To write $w$ as a fraction with a common denominator, multiply by $\frac{a}{a}$ .

$\frac{w a}{a} - \frac{s (s - a)}{a} = 0$

Step 3

Combine the numerators over the common denominator.

$\frac{w a - s (s - a)}{a} = 0$

Step 4

Simplify the numerator.

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Step 4.1

Apply the distributive property.

$\frac{w a - s \cdot s - s (- a)}{a} = 0$

Step 4.2

Multiply $s$ by $s$ by adding the exponents.

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Step 4.2.1

Move $s$ .

$\frac{w a - (s \cdot s) - s (- a)}{a} = 0$

Step 4.2.2

Multiply $s$ by $s$ .

$\frac{w a - s^{2} - s (- a)}{a} = 0$

Step 4.3

Rewrite using the commutative property of multiplication.

$\frac{w a - s^{2} - 1 \cdot - 1 s a}{a} = 0$

Step 4.4

Simplify each term.

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Step 4.4.1

Multiply $- 1$ by $- 1$ .

$\frac{w a - s^{2} + 1 s a}{a} = 0$

Step 4.4.2

Multiply $s$ by $1$ .

$\frac{w a - s^{2} + s a}{a} = 0$