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$ or $x - 7 = 0$$3 x = - 1$ or $x = 7$$x = - \frac { 1 } { 3 } $ or $x = 7$The solutions are $- \frac { 1 } { 3 } $ and 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 $2 - 10 x = ( 3 x - 7 ) ( x + 1 )$