Solve for k -144pi=-12pik

$- 144 π = - 12 π k$

Step 1

Rewrite the equation as $- 12 π k = - 144 π$ .

$- 12 π k = - 144 π$

Step 2

Divide each term in $- 12 π k = - 144 π$ by $- 12 π$ and simplify.

Divide each term in $- 12 π k = - 144 π$ by $- 12 π$ .

$\frac{- 12 π k}{- 12 π} = \frac{- 144 π}{- 12 π}$

Simplify the left side.

Cancel the common factor of $- 12$ .

Cancel the common factor.

$\frac{- 12 π k}{- 12 π} = \frac{- 144 π}{- 12 π}$

Rewrite the expression.

$\frac{π k}{π} = \frac{- 144 π}{- 12 π}$

Cancel the common factor of $π$ .

Cancel the common factor.

$\frac{π k}{π} = \frac{- 144 π}{- 12 π}$

Divide $k$ by $1$ .

$k = \frac{- 144 π}{- 12 π}$

Simplify the right side.

Cancel the common factor of $- 144$ and $- 12$ .

Factor $- 12$ out of $- 144 π$ .

$k = \frac{- 12 (12 π)}{- 12 π}$

Cancel the common factors.

Factor $- 12$ out of $- 12 π$ .

$k = \frac{- 12 (12 π)}{- 12 (π)}$

Cancel the common factor.

$k = \frac{- 12 (12 π)}{- 12 π}$

Rewrite the expression.

$k = \frac{12 π}{π}$

Cancel the common factor of $π$ .

Cancel the common factor.

$k = \frac{12 π}{π}$

Divide $12$ by $1$ .

$k = 12$