Solve the equation for the variable.
-$$3 x ^ { 3 } + 5 x ^ { 2 } = 27 x + 45$$
A) $\left\{ - \frac { 5 } { 3 } , 0 \right\}$
B) $\left\{ - \frac { 5 } { 3 } , 3 \right\}$
C) $\left\{ - 3 , - \frac { 5 } { 3 } , 3 \right\}$
D) $\{ - 3,3 \}$

Question

Quizplus · Accepted Answer

The equation simplifies to $3x^3 + 5x^2 - 27x - 45 = 0$. Factoring gives $(x + 3)(3x^2 - 4x - 15) = 0$, leading to roots $x = -3$, $x = -\frac{5}{3}$, and $x = 3$.

Solve the Equation for the Variable 3x3+5x2=27x+453 x ^ { 3 } + 5 x ^ { 2 } = 27 x + 453x3+5x2=27x+45

Solve the Equation for the Variable $3 x ^ { 3 } + 5 x ^ { 2 } = 27 x + 45$