Solve the equation. $( 10 u - 1 ) ( 6 u - 5 ) = 0$
A) $\left\{ \frac { 1 } { 10 } , - \frac { 5 } { 6 } \right\}$
B) $\left\{ - \frac { 1 } { 10 } , \frac { 5 } { 6 } \right\}$
C) $\left\{ \frac { 1 } { 10 } , \frac { 5 } { 6 } \right\}$
D) $\left\{ - \frac { 1 } { 10 } , - \frac { 5 } { 6 } \right\}$
E) none of these

Question

Quizplus · Accepted Answer

We can solve the equation by setting each factor equal to zero and solving for u: 
$10u-1=0 \Rightarrow u=\frac{1}{10}$ 
$6u-5=0 \Rightarrow u=\frac{5}{6}$ 
Therefore, the solutions to the equation are $u=\frac{1}{10}$ and $u=\frac{5}{6}$. These match the options in choice C, so the answer is C.

Solve the Equation (10u−1)(6u−5)=0( 10 u - 1 ) ( 6 u - 5 ) = 0(10u−1)(6u−5)=0

Solve the Equation $( 10 u - 1 ) ( 6 u - 5 ) = 0$