Solve the equation.
-$$x ^ { 3 } + 3 x ^ { 2 } = 108 x$$
A) $\{ - 12,9 \}$
B) $\{ 12 , - 9 \}$
C) $\{ 12,0 , - 9 \}$
D) $\{ - 12,0,9 \}$

Question

Quizplus · Accepted Answer

First, rearrange the equation to set it to 0: $x^3 + 3x^2 - 108x = 0$. Factor out an $x$, giving $x(x^2 + 3x - 108) = 0$. Factoring the quadratic equation gives $x(x + 12)(x - 9) = 0$, leading to the solutions $x = 0$, $x = -12$, and $x = 9$.

Solve the Equation x3+3x2=108xx ^ { 3 } + 3 x ^ { 2 } = 108 xx3+3x2=108x

Solve the Equation $x ^ { 3 } + 3 x ^ { 2 } = 108 x$