Answer:
x = -2 or 0; Product of roots = 0.
Step-by-step explanation:
Product of roots:
(x + 1)² = 1
x² + 2x + 1 = 1
x² +2x = 0
The standard form of a quadratic is a² + bx + c = 0.
In your equation, a = 1; b = 2; c = 0
Even without solving the equation, we know that the product of the roots is zero, because
Product of roots = c/a =0/1 = 0
Solution:
Factor the quadratic x(x +2) = 0
Use zero product property x = 0 x + 2 = 0
x = -2
The roots are x = 0 and x = -2.