Solve 12/|x|=2 - ScanMath

Evaluate

\frac{12}{∣ x ∣} = 2

Find the domain

More Steps

\frac{12}{∣ x ∣} = 2, x \neq = 0

Cross multiply

12 = ∣ x ∣ \times 2

Simplify the equation

12 = 2 ∣ x ∣

Rewrite the expression

2 \times 6 = 2 ∣ x ∣

Evaluate

6 = ∣ x ∣

Swap the sides of the equation

∣ x ∣ = 6

Separate the equation into 2 possible cases

x = 6 x = - 6

Check if the solution is in the defined range

x = 6 x = - 6, x \neq = 0

Find the intersection of the solution and the defined range

x = 6 x = - 6

Solution

x_{1} = - 6, x_{2} = 6

Solve the equation