Pre-Algebra Examples

$m (- 13 - m) = 0$

Step 1

If any individual factor on the left side of the equation is equal to $0$ , the entire expression will be equal to $0$ .

$m = 0$

$- 13 - m = 0$

Step 2

Set $m$ equal to $0$ .

$m = 0$

Step 3

Set $- 13 - m$ equal to $0$ and solve for $m$ .

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Step 3.1

Set $- 13 - m$ equal to $0$ .

$- 13 - m = 0$

Step 3.2

Solve $- 13 - m = 0$ for $m$ .

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Step 3.2.1

Add $13$ to both sides of the equation.

$- m = 13$

Step 3.2.2

Divide each term in $- m = 13$ by $- 1$ and simplify.

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Step 3.2.2.1

Divide each term in $- m = 13$ by $- 1$ .

$\frac{- m}{- 1} = \frac{13}{- 1}$

Step 3.2.2.2

Simplify the left side.

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Step 3.2.2.2.1

Dividing two negative values results in a positive value.

$\frac{m}{1} = \frac{13}{- 1}$

Step 3.2.2.2.2

Divide $m$ by $1$ .

$m = \frac{13}{- 1}$

Step 3.2.2.3

Simplify the right side.

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Step 3.2.2.3.1

Divide $13$ by $- 1$ .

$m = - 13$

Step 4

The final solution is all the values that make $m (- 13 - m) = 0$ true.

$m = 0, - 13$