Solve the equation by the zero-factor property.
-$$2 x ^ { 2 } = 21 x - 49$$
A) $\left\{ - 7 , - \frac { 7 } { 2 } \right\}$
B) $\left\{ \frac { 7 } { 2 } , 7 \right\}$
C) $\left\{ - 7 , \frac { 7 } { 2 } \right\}$
D) $\{ 7,14 \}$

Question

Quizplus · Accepted Answer

First, rearrange the equation to set it to 0: $2x^2 - 21x + 49 = 0$. Factoring this equation, we get $(2x - 7)(x - 7) = 0$, which gives us the solutions $x = \frac{7}{2}$ and $x = 7$.

Solve the Equation by the Zero-Factor Property 2x2=21x−492 x ^ { 2 } = 21 x - 492x2=21x−49

Solve the Equation by the Zero-Factor Property $2 x ^ { 2 } = 21 x - 49$