How to solve 762 / x + 32 = 64

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 762 / x + 32 = 64 | Equatix

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$$762:x+32=64$$

$x = \frac{381}{16} = 23\frac{13}{16} = 23.8125$

Variable $x$ cannot be equal to $0$ since division by zero is not defined. Multiply both sides of the equation by $x$.

$$762+x\times 32=64x$$

Subtract $64x$ from both sides.

$$762+x\times 32-64x=0$$

Combine $x\times 32$ and $-64x$ to get $-32x$.

$$762-32x=0$$

Subtract $762$ from both sides. Anything subtracted from zero gives its negation.

$$-32x=-762$$

Divide both sides by $-32$.

$$x=\frac{-762}{-32}$$

Reduce the fraction $\frac{-762}{-32}$ to lowest terms by extracting and canceling out $-2$.

$$x=\frac{381}{16}$$