Solve 5x 2|x 2|=10

Evaluate

5 x \times 2 ∣ x \times 2 ∣ = 10

Simplify

More Steps

10 x ∣ 2 x ∣ = 10

Separate the equation into 2 possible cases

10 x \times 2 x = 10, 2 x \geq 0 10 x (- 2 x) = 10, 2 x < 0

Evaluate

More Steps

x = \frac{2}{2} x = - \frac{2}{2}, 2 x \geq 0 10 x (- 2 x) = 10, 2 x < 0

Evaluate

x = \frac{2}{2} x = - \frac{2}{2}, x \geq 0 10 x (- 2 x) = 10, 2 x < 0

Evaluate

More Steps

x = \frac{2}{2} x = - \frac{2}{2}, x \geq 0 x \in / R, 2 x < 0

Evaluate

x = \frac{2}{2} x = - \frac{2}{2}, x \geq 0 x \in / R, x < 0

Find the intersection

x = \frac{2}{2} x \in / R, x < 0

Find the intersection

x = \frac{2}{2} x \in / R

Solution

x = \frac{2}{2}

Alternative Form

x \approx 0.707107

Solve the equation