How to solve (3a)/(2 - a) = 6

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 (3a)/(2 - a) = 6 | Equatix

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$$\frac{3a}{2-a}=6$$

$a = \frac{4}{3} = 1\frac{1}{3} \approx 1.333333333$

Variable $a$ cannot be equal to $2$ since division by zero is not defined. Multiply both sides of the equation by $-a+2$.

$$3a=6\left(-a+2\right)$$

Use the distributive property to multiply $6$ by $-a+2$.

$$3a=-6a+12$$

Add $6a$ to both sides.

$$3a+6a=12$$

Combine $3a$ and $6a$ to get $9a$.

$$9a=12$$

Divide both sides by $9$.

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

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

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