How to solve 3/x-6/x=32

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 3/x-6/x=32 | Equatix

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$$3/x-6/x=32$$

$x=-\frac{3}{32}=-0.09375$

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

$$3-6=32x$$

Subtract $6$ from $3$ to get $-3$.

$$-3=32x$$

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

$$32x=-3$$

Divide both sides by $32$.

$$x=\frac{-3}{32}$$

Fraction $\frac{-3}{32}$ can be rewritten as $-\frac{3}{32}$ by extracting the negative sign.

$$x=-\frac{3}{32}$$