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

Question

Solve the equation

x_{1} = \frac{4 - 46}{6}, x_{2} = \frac{4 + 46}{6}

Alternative Form

x_{1} \approx - 0.463722, x_{2} \approx 1.797055

Evaluate

∣ 2 x \times 1 ∣ ∣ 3 x - 4 ∣ = 5

Simplify

More Steps

∣ 2 x (3 x - 4) ∣ = 5

Separate the equation into 2 possible cases

2 x (3 x - 4) = 5 2 x (3 x - 4) = - 5

Solve the equation for x

More Steps

x = \frac{4 + 46}{6} x = \frac{4 - 46}{6} 2 x (3 x - 4) = - 5

Solve the equation for x

More Steps

x = \frac{4 + 46}{6} x = \frac{4 - 46}{6} x \in / R

Find the union

x = \frac{4 + 46}{6} x = \frac{4 - 46}{6}

Solution

x_{1} = \frac{4 - 46}{6}, x_{2} = \frac{4 + 46}{6}

Alternative Form

x_{1} \approx - 0.463722, x_{2} \approx 1.797055

Show Solution