Question

5x⁴ - 20x² = 0

Explanation:

Step1: Factor out common term

$5x^2(x^2 - 4) = 0$

Step2: Factor the difference of squares

$5x^2(x-2)(x+2) = 0$

Step3: Set each factor to 0

$5x^2=0$, $x-2=0$, $x+2=0$

Step4: Solve for x

$x=0$, $x=2$, $x=-2$

Answer:

$x = -2$, $x = 0$, $x = 2$