Solve for u 9=-3/u

$9 = - \frac{3}{u}$

Step 1

Rewrite the equation as $- \frac{3}{u} = 9$ .

$- \frac{3}{u} = 9$

Step 2

Find the LCD of the terms in the equation.

Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.

$u, 1$

The LCM of one and any expression is the expression.

$u$

Step 3

Multiply each term in $- \frac{3}{u} = 9$ by $u$ to eliminate the fractions.

Multiply each term in $- \frac{3}{u} = 9$ by $u$ .

$- \frac{3}{u} u = 9 u$

Simplify the left side.

Cancel the common factor of $u$ .

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

$\frac{- 3}{u} u = 9 u$

Cancel the common factor.

$\frac{- 3}{u} u = 9 u$

Rewrite the expression.

$- 3 = 9 u$

Step 4

Solve the equation.

Rewrite the equation as $9 u = - 3$ .

$9 u = - 3$

Divide each term in $9 u = - 3$ by $9$ and simplify.

Divide each term in $9 u = - 3$ by $9$ .

$\frac{9 u}{9} = \frac{- 3}{9}$

Simplify the left side.

Cancel the common factor of $9$ .

Cancel the common factor.

$\frac{9 u}{9} = \frac{- 3}{9}$

Divide $u$ by $1$ .

$u = \frac{- 3}{9}$

Simplify the right side.

Cancel the common factor of $- 3$ and $9$ .

Factor $3$ out of $- 3$ .

$u = \frac{3 (- 1)}{9}$

Cancel the common factors.

Factor $3$ out of $9$ .

$u = \frac{3 \cdot - 1}{3 \cdot 3}$

Cancel the common factor.

$u = \frac{3 \cdot - 1}{3 \cdot 3}$

Rewrite the expression.

$u = \frac{- 1}{3}$

Move the negative in front of the fraction.

$u = - \frac{1}{3}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$u = - \frac{1}{3}$

Decimal Form:

$u = - 0.\overline{3}$

Solve for u 9=-3/u

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