1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve 3m 12 | Equatix

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Question

$$5 m = 3 m \frac { - 11 } { 12 }$$

$m=0$

Fraction $\frac{-11}{12}$ can be rewritten as $-\frac{11}{12}$ by extracting the negative sign.

$$5m=3m\left(-\frac{11}{12}\right)$$

Express $3\left(-\frac{11}{12}\right)$ as a single fraction.

$$5m=\frac{3\left(-11\right)}{12}m$$

Multiply $3$ and $-11$ to get $-33$.

$$5m=\frac{-33}{12}m$$

Reduce the fraction $\frac{-33}{12}$ to lowest terms by extracting and canceling out $3$.

$$5m=-\frac{11}{4}m$$

Add $\frac{11}{4}m$ to both sides.

$$5m+\frac{11}{4}m=0$$

Combine $5m$ and $\frac{11}{4}m$ to get $\frac{31}{4}m$.

$$\frac{31}{4}m=0$$

Product of two numbers is equal to $0$ if at least one of them is $0$. Since $\frac{31}{4}$ is not equal to $0$, $m$ must be equal to $0$.

$$m=0$$