Solve for c -1/4=-1/6-1/2c

$- \frac{1}{4} = - \frac{1}{6} - \frac{1}{2} c$

Rewrite the equation as $- \frac{1}{6} - \frac{1}{2} c = - \frac{1}{4}$ .

$- \frac{1}{6} - \frac{1}{2} c = - \frac{1}{4}$

Combine $c$ and $\frac{1}{2}$ .

$- \frac{1}{6} - \frac{c}{2} = - \frac{1}{4}$

Move all terms not containing $c$ to the right side of the equation.

Add $\frac{1}{6}$ to both sides of the equation.

$- \frac{c}{2} = - \frac{1}{4} + \frac{1}{6}$

To write $- \frac{1}{4}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$- \frac{c}{2} = - \frac{1}{4} \cdot \frac{3}{3} + \frac{1}{6}$

To write $\frac{1}{6}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$- \frac{c}{2} = - \frac{1}{4} \cdot \frac{3}{3} + \frac{1}{6} \cdot \frac{2}{2}$

Write each expression with a common denominator of $12$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{1}{4}$ by $\frac{3}{3}$ .

$- \frac{c}{2} = - \frac{3}{4 \cdot 3} + \frac{1}{6} \cdot \frac{2}{2}$

Multiply $4$ by $3$ .

$- \frac{c}{2} = - \frac{3}{12} + \frac{1}{6} \cdot \frac{2}{2}$

Multiply $\frac{1}{6}$ by $\frac{2}{2}$ .

$- \frac{c}{2} = - \frac{3}{12} + \frac{2}{6 \cdot 2}$

Multiply $6$ by $2$ .

$- \frac{c}{2} = - \frac{3}{12} + \frac{2}{12}$

Combine the numerators over the common denominator.

$- \frac{c}{2} = \frac{- 3 + 2}{12}$

Add $- 3$ and $2$ .

$- \frac{c}{2} = \frac{- 1}{12}$

Move the negative in front of the fraction.

$- \frac{c}{2} = - \frac{1}{12}$

Multiply both sides of the equation by $- 2$ .

$- 2 (- \frac{c}{2}) = - 2 (- \frac{1}{12})$

Simplify both sides of the equation.

Simplify the left side.

Simplify $- 2 (- \frac{c}{2})$ .

Cancel the common factor of $2$ .

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

$- 2 \frac{- c}{2} = - 2 (- \frac{1}{12})$

Factor $2$ out of $- 2$ .

$2 (- 1) \frac{- c}{2} = - 2 (- \frac{1}{12})$

Cancel the common factor.

$2 \cdot - 1 \frac{- c}{2} = - 2 (- \frac{1}{12})$

Rewrite the expression.

$- - c = - 2 (- \frac{1}{12})$

Multiply.

Multiply $- 1$ by $- 1$ .

$1 c = - 2 (- \frac{1}{12})$

Multiply $c$ by $1$ .

$c = - 2 (- \frac{1}{12})$

Simplify the right side.

Simplify $- 2 (- \frac{1}{12})$ .

Cancel the common factor of $2$ .

Move the leading negative in $- \frac{1}{12}$ into the numerator.

$c = - 2 (\frac{- 1}{12})$

Factor $2$ out of $- 2$ .

$c = 2 (- 1) \frac{- 1}{12}$

Factor $2$ out of $12$ .

$c = 2 \cdot - 1 \frac{- 1}{2 \cdot 6}$

Cancel the common factor.

$c = 2 \cdot - 1 \frac{- 1}{2 \cdot 6}$

Rewrite the expression.

$c = - \frac{- 1}{6}$

Move the negative in front of the fraction.

$c = - - \frac{1}{6}$

Multiply $- - \frac{1}{6}$ .

Multiply $- 1$ by $- 1$ .

$c = 1 (\frac{1}{6})$

Multiply $\frac{1}{6}$ by $1$ .

$c = \frac{1}{6}$

The result can be shown in multiple forms.

Exact Form:

$c = \frac{1}{6}$

Decimal Form:

$c = 0.1\overline{6}$

Solve for c -1/4=-1/6-1/2c

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