Solve |2x 1| |3x - 4| 5

Evaluate

∣ 2 x \times 1 ∣ ∣ 3 x - 4 ∣ \times 5

To find the roots of the expression,set the expression equal to 0

∣ 2 x \times 1 ∣ ∣ 3 x - 4 ∣ \times 5 = 0

Multiply the terms

∣ 2 x ∣ ∣ 3 x - 4 ∣ \times 5 = 0

Calculate the absolute value

2 ∣ x ∣ ∣ 3 x - 4 ∣ \times 5 = 0

Multiply the terms

More Steps

10 ∣ x (3 x - 4) ∣ = 0

Rewrite the expression

∣ x (3 x - 4) ∣ = 0

Rewrite the expression

x (3 x - 4) = 0

Separate the equation into 2 possible cases

x = 0 3 x - 4 = 0

Solve the equation

More Steps

x = 0 x = \frac{4}{3}

Solution

x_{1} = 0, x_{2} = \frac{4}{3}

Alternative Form

x_{1} = 0, x_{2} = 1. \dot{3}

Simplify the expression