Solve for u -6=-3/u

$- 6 = - \frac{3}{u}$

Rewrite the equation as $- \frac{3}{u} = - 6$ .

$- \frac{3}{u} = - 6$

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.

$u$

Multiply each term in $- \frac{3}{u} = - 6$ by $u$ to eliminate the fractions.

Multiply each term in $- \frac{3}{u} = - 6$ by $u$ .

$- \frac{3}{u} u = - 6 u$

Simplify the left side.

Cancel the common factor of $u$ .

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

$\frac{- 3}{u} u = - 6 u$

Cancel the common factor.

$\frac{- 3}{u} u = - 6 u$

Rewrite the expression.

$- 3 = - 6 u$

Solve the equation.

Rewrite the equation as $- 6 u = - 3$ .

$- 6 u = - 3$

Divide each term in $- 6 u = - 3$ by $- 6$ and simplify.

Divide each term in $- 6 u = - 3$ by $- 6$ .

$\frac{- 6 u}{- 6} = \frac{- 3}{- 6}$

Simplify the left side.

Cancel the common factor of $- 6$ .

Cancel the common factor.

$\frac{- 6 u}{- 6} = \frac{- 3}{- 6}$

Divide $u$ by $1$ .

$u = \frac{- 3}{- 6}$

Simplify the right side.

Cancel the common factor of $- 3$ and $- 6$ .

Factor $- 3$ out of $- 3$ .

$u = \frac{- 3 (1)}{- 6}$

Cancel the common factors.

Factor $- 3$ out of $- 6$ .

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

Cancel the common factor.

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

Rewrite the expression.

$u = \frac{1}{2}$

The result can be shown in multiple forms.

Exact Form:

$u = \frac{1}{2}$

Decimal Form:

$u = 0.5$

Solve for u -6=-3/u

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