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.

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Question

$$1 / 7 x + 1 = 4 x + 7$$

$x = -\frac{14}{9} = -1\frac{5}{9} \approx -1.555555556$

Subtract $4x$ from both sides.

$$\frac{1}{7}x+1-4x=7$$

Combine $\frac{1}{7}x$ and $-4x$ to get $-\frac{27}{7}x$.

$$-\frac{27}{7}x+1=7$$

Subtract $1$ from both sides.

$$-\frac{27}{7}x=7-1$$

Subtract $1$ from $7$ to get $6$.

$$-\frac{27}{7}x=6$$

Multiply both sides by $-\frac{7}{27}$, the reciprocal of $-\frac{27}{7}$.

$$x=6\left(-\frac{7}{27}\right)$$

Express $6\left(-\frac{7}{27}\right)$ as a single fraction.

$$x=\frac{6\left(-7\right)}{27}$$

Multiply $6$ and $-7$ to get $-42$.

$$x=\frac{-42}{27}$$

Reduce the fraction $\frac{-42}{27}$ to lowest terms by extracting and canceling out $3$.

$$x=-\frac{14}{9}$$