Solve the equation by the zero-factor property.
-$$2 x ^ { 2 } = - 27 x - 81$$
A) $\{ - 9 , - 18 \}$

B) $\left\{ 9 , \frac { 9 } { 2 } \right\}$

C) $\left\{ - \frac { 9 } { 2 } , - 9 \right\}$

D) $\left\{ 9 , - \frac { 9 } { 2 } \right\}$

Question

Solve the equation by the zero-factor property.
-$$2 x ^ { 2 } = - 27 x - 81$$
A) $\{ - 9 , - 18 \}$

B) $\left\{ 9 , \frac { 9 } { 2 } \right\}$

C) $\left\{ - \frac { 9 } { 2 } , - 9 \right\}$

D) $\left\{ 9 , - \frac { 9 } { 2 } \right\}$

Quizplus · Accepted Answer

First, rearrange the equation to set it to 0: $2x^2 + 27x + 81 = 0$. Factoring out, we get $(2x + 9)(x + 9) = 0$, leading to solutions $x = -\frac{9}{2}$ and $x = -9$.

Solve the Equation by the Zero-Factor Property 2x2=−27x−812 x ^ { 2 } = - 27 x - 812x2=−27x−81

Solve the Equation by the Zero-Factor Property $2 x ^ { 2 } = - 27 x - 81$