Algebra Examples

$s = 3 l w + 3 w h + 5 h l$

Step 1

Rewrite the equation as $3 l w + 3 w h + 5 h l = s$ .

$3 l w + 3 w h + 5 h l = s$

Step 2

Subtract $3 l w$ from both sides of the equation.

$3 w h + 5 h l = s - 3 l w$

Step 3

Factor $h$ out of $3 w h + 5 h l$ .

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Factor $h$ out of $3 w h$ .

$h (3 w) + 5 h l = s - 3 l w$

Factor $h$ out of $5 h l$ .

$h (3 w) + h (5 l) = s - 3 l w$

Factor $h$ out of $h (3 w) + h (5 l)$ .

$h (3 w + 5 l) = s - 3 l w$

Step 4

Divide each term in $h (3 w + 5 l) = s - 3 l w$ by $3 w + 5 l$ and simplify.

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Divide each term in $h (3 w + 5 l) = s - 3 l w$ by $3 w + 5 l$ .

$\frac{h (3 w + 5 l)}{3 w + 5 l} = \frac{s}{3 w + 5 l} + \frac{- 3 l w}{3 w + 5 l}$

Simplify the left side.

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Cancel the common factor of $3 w + 5 l$ .

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Cancel the common factor.

$\frac{h (3 w + 5 l)}{3 w + 5 l} = \frac{s}{3 w + 5 l} + \frac{- 3 l w}{3 w + 5 l}$

Divide $h$ by $1$ .

$h = \frac{s}{3 w + 5 l} + \frac{- 3 l w}{3 w + 5 l}$

Simplify the right side.

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Combine the numerators over the common denominator.

$h = \frac{s - 3 l w}{3 w + 5 l}$