Question 183847
Solve for x:
{{{x^3+2x^2-x-2 = 0}}} Factor the left side.
{{{(x^2-1)(x+2) = 0}}} Apply the zero product rule:
{{{x^2-1 = 0}}} or {{{x-2 = 0}}} so...
{{{x^2-1 = 0}}} Add 1 to both sides.
{{{x^2 = 1}}} Take the square root of both sides.
{{{x = 1}}} or {{{x = -1}}} and...
{{{x+2 = 0}}} Subtract 2 from both sides.
{{{x = -2}}}
The solutions:
{{{highlight(x = 1)}}}
{{{highlight(x = -1)}}}
{{{highlight(x = -2)}}}