Solve |82x| 2x=40

Evaluate

∣ 82 x ∣ \times 2 x = 40

Multiply the terms

2 ∣ 82 x ∣ \times x = 40

Separate the equation into 2 possible cases

2 \times 82 x \times x = 40, 82 x \geq 0 2 (- 82 x) x = 40, 82 x < 0

Evaluate

More Steps

x = \frac{410}{41} x = - \frac{410}{41}, 82 x \geq 0 2 (- 82 x) x = 40, 82 x < 0

Evaluate

x = \frac{410}{41} x = - \frac{410}{41}, x \geq 0 2 (- 82 x) x = 40, 82 x < 0

Evaluate

More Steps

x = \frac{410}{41} x = - \frac{410}{41}, x \geq 0 x \in / R, 82 x < 0

Evaluate

x = \frac{410}{41} x = - \frac{410}{41}, x \geq 0 x \in / R, x < 0

Find the intersection

x = \frac{410}{41} x \in / R, x < 0

Find the intersection

x = \frac{410}{41} x \in / R

Solution

x = \frac{410}{41}

Alternative Form

x \approx 0.493865

Solve the equation