Solve the equation by factoring.
-$$2 - 10 x = ( 3 x - 7 ) ( x + 1 )$$
A) $\{ - 3,1 \}$
B) $\left\{ - 1 , \frac { 7 } { 3 } \right\}$
C) $\{ - 1,3 \}$
D) $\left\{ \frac { 1 } { 5 } \right\}$

Question

Quizplus · Accepted Answer

Explanation:Factor the right side of the equation:$$2 - 10 x = ( 3 x - 7 ) ( x + 1 )$$$$2 - 10 x = 3 x^2 + 3 x - 7 x - 7$$$$2 - 10 x = 3 x^2 - 4 x - 7$$Set each factor equal to zero and solve for x:$$3 x^2 - 4 x - 7 = 0$$$$( 3 x + 1 ) ( x - 7 ) = 0$$$$3 x + 1 = 0 \quad \text{or} \quad x - 7 = 0$$$$3 x = -1 \quad \text{or} \quad x = 7$$$$x = - \frac { 1 } { 3 } \quad \text{or} \quad x = 7$$Therefore, the solution set is $\{ - \frac { 1 } { 3 } , 7 \}$.

Solve the Equation by Factoring 2−10x=(3x−7)(x+1)2 - 10 x = ( 3 x - 7 ) ( x + 1 )2−10x=(3x−7)(x+1)

Solve the Equation by Factoring $2 - 10 x = ( 3 x - 7 ) ( x + 1 )$