Solve the equation by factoring.
-$$2 x ( x - 5 ) = 6 x ^ { 2 } - 11 x$$
A) $\{ 0 \}$
B) $\left\{ 0 , \frac { 1 } { 4 } \right\}$
C) $\left\{ - \frac { 1 } { 4 } , 0 \right\}$
D) $\{ 0,4 \}$

Question

Quizplus · Accepted Answer

First, bring all terms to one side to set the equation to 0: $0 = 6x^2 - 11x - 2x(x - 5) = 6x^2 - 11x - 2x^2 + 10x = 4x^2 - x - 10x + 10x = 4x^2 - x$. Factoring out an x gives $x(4x - 1) = 0$, which has solutions $x = 0$ and $x = \frac{1}{4}$.

Solve the Equation by Factoring 2x(x−5)=6x2−11x2 x ( x - 5 ) = 6 x ^ { 2 } - 11 x2x(x−5)=6x2−11x

Solve the Equation by Factoring $2 x ( x - 5 ) = 6 x ^ { 2 } - 11 x$