Solve the equation. $b ( 5 b - 6 ) = 8$
A) $b = 2 , b = - \frac { 1 } { 4 }$
B) $b = \frac { 4 } { 5 } , b = - 2$
C) $b = 2 , b = - \frac { 4 } { 5 }$
D) $b = - 2 , b = - \frac { 4 } { 5 }$
E) $b = 0 , b = - \frac { 1 } { 4 }$

Question

Quizplus · Accepted Answer

Using the distributive property, we get:

$b(5b-6)=8$

$5b^2-6b=8$

$5b^2-6b-8=0$

Factoring gives us:

$(5b+4)(b-2)=0$

Therefore, either $5b+4=0$ or $b-2=0$.

Solving for $b$, we get:

$b=-\frac{4}{5}$ or $b=2$

Therefore, the answer is choice C, $b=2$ or $b=-\frac{4}{5}$.

Solve the Equation b(5b−6)=8b ( 5 b - 6 ) = 8b(5b−6)=8

Solve the Equation $b ( 5 b - 6 ) = 8$