Question

Solve the equation for all values of x.
-x(x – 8)(x² + 25) = 0
From deltamath.com

Answer 1

x=0 , x=8 , x = ±5i

Explanation:

-x(x – 8)(x² + 25) = 0

Using the zero product property

-x =0 x-8 =0 x^2+25 =0

x =0 x= 8 x^2 = -25

x=0 x= 8 sqrt(x^2) = sqrt(-25)

x = ±5i