How to solve x + 5/6 = - 9/4

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 x + 5/6 = - 9/4 | Equatix

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$$x+\frac{5}{6}=\frac{-9}{4}$$

$x = -\frac{37}{12} = -3\frac{1}{12} \approx -3.083333333$

Fraction $\frac{-9}{4}$ can be rewritten as $-\frac{9}{4}$ by extracting the negative sign.

$$x+\frac{5}{6}=-\frac{9}{4}$$

Subtract $\frac{5}{6}$ from both sides.

$$x=-\frac{9}{4}-\frac{5}{6}$$

Least common multiple of $4$ and $6$ is $12$. Convert $-\frac{9}{4}$ and $\frac{5}{6}$ to fractions with denominator $12$.

$$x=-\frac{27}{12}-\frac{10}{12}$$

Since $-\frac{27}{12}$ and $\frac{10}{12}$ have the same denominator, subtract them by subtracting their numerators.

$$x=\frac{-27-10}{12}$$

Subtract $10$ from $-27$ to get $-37$.

$$x=-\frac{37}{12}$$