How to solve 1/42 = (28x)/147

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 1/42 = (28x)/147 | Equatix

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$$\frac{1}{42}=\frac{28x}{147}$$

$x=\frac{1}{8}=0.125$

Multiply both sides by $147$.

$$\frac{1}{42}\times 147=28x$$

Multiply $\frac{1}{42}$ and $147$ to get $\frac{147}{42}$.

$$\frac{147}{42}=28x$$

Reduce the fraction $\frac{147}{42}$ to lowest terms by extracting and canceling out $21$.

$$\frac{7}{2}=28x$$

Swap sides so that all variable terms are on the left hand side.

$$28x=\frac{7}{2}$$

Divide both sides by $28$.

$$x=\frac{\frac{7}{2}}{28}$$

Express $\frac{\frac{7}{2}}{28}$ as a single fraction.

$$x=\frac{7}{2\times 28}$$

Multiply $2$ and $28$ to get $56$.

$$x=\frac{7}{56}$$

Reduce the fraction $\frac{7}{56}$ to lowest terms by extracting and canceling out $7$.

$$x=\frac{1}{8}$$