How to solve - 4/9 * L = - 1/3

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 - 4/9 * L = - 1/3 | Equatix

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$$-\frac{4}{9}L=\frac{-1}{3}$$

$L=\frac{3}{4}=0.75$

Fraction $\frac{-1}{3}$ can be rewritten as $-\frac{1}{3}$ by extracting the negative sign.

$$-\frac{4}{9}L=-\frac{1}{3}$$

Multiply both sides by $-\frac{9}{4}$, the reciprocal of $-\frac{4}{9}$.

$$L=-\frac{1}{3}\left(-\frac{9}{4}\right)$$

Multiply $-\frac{1}{3}$ times $-\frac{9}{4}$ by multiplying numerator times numerator and denominator times denominator.

$$L=\frac{-\left(-9\right)}{3\times 4}$$

Do the multiplications in the fraction $\frac{-\left(-9\right)}{3\times 4}$.

$$L=\frac{9}{12}$$

Reduce the fraction $\frac{9}{12}$ to lowest terms by extracting and canceling out $3$.

$$L=\frac{3}{4}$$