Solve (x^2-2)(x^2 2)

Evaluate

(x^{2} - 2) (x^{2} \times 2)

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

(x^{2} - 2) (x^{2} \times 2) = 0

Use the commutative property to reorder the terms

(x^{2} - 2) \times 2 x^{2} = 0

Multiply the terms

2 x^{2} (x^{2} - 2) = 0

Elimination the left coefficient

x^{2} (x^{2} - 2) = 0

Separate the equation into 2 possible cases

x^{2} = 0 x^{2} - 2 = 0

The only way a power can be 0 is when the base equals 0

x = 0 x^{2} - 2 = 0

Solve the equation

More Steps

x = 0 x = 2 x = - 2

Solution

x_{1} = - 2, x_{2} = 0, x_{3} = 2

Alternative Form

x_{1} \approx - 1.414214, x_{2} = 0, x_{3} \approx 1.414214

Simplify the expression