Question

solve the equation. select all that apply.
$-3n^3 + 24n^2 - 48n = 0$
options: $n = 2$, $n = -5$, $n = 6$, $n = 0$, $n = -1$, $n = -3$, $n = -4$, $n = 4$, no solution

Explanation:

Step1: Factor out common term

$-3n(n^2 - 8n + 16) = 0$

Step2: Factor quadratic expression

$-3n(n - 4)^2 = 0$

Step3: Set factors to zero

$-3n = 0$ or $(n - 4)^2 = 0$

Step4: Solve for n

$n = 0$ or $n = 4$

Answer:

$n = 0$, $n = 4$