Solve for S -3/2S=-3

$- \frac{3}{2} S = - 3$

Step 1

Multiply both sides of the equation by $- \frac{2}{3}$ .

$- \frac{2}{3} (- \frac{3}{2} S) = - \frac{2}{3} \cdot - 3$

Step 2

Simplify both sides of the equation.

Simplify the left side.

Simplify $- \frac{2}{3} (- \frac{3}{2} S)$ .

Combine $S$ and $\frac{3}{2}$ .

$- \frac{2}{3} (- \frac{S \cdot 3}{2}) = - \frac{2}{3} \cdot - 3$

Cancel the common factor of $2$ .

Move the leading negative in $- \frac{2}{3}$ into the numerator.

$\frac{- 2}{3} (- \frac{S \cdot 3}{2}) = - \frac{2}{3} \cdot - 3$

Move the leading negative in $- \frac{S \cdot 3}{2}$ into the numerator.

$\frac{- 2}{3} \cdot \frac{- S \cdot 3}{2} = - \frac{2}{3} \cdot - 3$

Factor $2$ out of $- 2$ .

$\frac{2 (- 1)}{3} \cdot \frac{- S \cdot 3}{2} = - \frac{2}{3} \cdot - 3$

Cancel the common factor.

$\frac{2 \cdot - 1}{3} \cdot \frac{- S \cdot 3}{2} = - \frac{2}{3} \cdot - 3$

Rewrite the expression.

$\frac{- 1}{3} (- S \cdot 3) = - \frac{2}{3} \cdot - 3$

Cancel the common factor of $3$ .

Factor $3$ out of $- S \cdot 3$ .

$\frac{- 1}{3} (3 \cdot (- S)) = - \frac{2}{3} \cdot - 3$

Cancel the common factor.

$\frac{- 1}{3} (3 \cdot (- S)) = - \frac{2}{3} \cdot - 3$

Rewrite the expression.

$- - S = - \frac{2}{3} \cdot - 3$

Multiply.

Multiply $- 1$ by $- 1$ .

$1 S = - \frac{2}{3} \cdot - 3$

Multiply $S$ by $1$ .

$S = - \frac{2}{3} \cdot - 3$

Simplify the right side.

Simplify $- \frac{2}{3} \cdot - 3$ .

Cancel the common factor of $3$ .

Move the leading negative in $- \frac{2}{3}$ into the numerator.

$S = \frac{- 2}{3} \cdot - 3$

Factor $3$ out of $- 3$ .

$S = \frac{- 2}{3} \cdot (3 (- 1))$

Cancel the common factor.

$S = \frac{- 2}{3} \cdot (3 \cdot - 1)$

Rewrite the expression.

$S = - 2 \cdot - 1$

Multiply $- 2$ by $- 1$ .

$S = 2$

Solve for S -3/2S=-3

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