Solve the equation. $( 10 x - 1 ) ( 5 x - 4 ) = 0$
A) $\left\{ \frac { 1 } { 10 } , \frac { 4 } { 5 } \right\}$
B) $\left\{ \frac { 1 } { 10 } , - \frac { 4 } { 5 } \right\}$
C) $\left\{ - \frac { 1 } { 10 } , \frac { 4 } { 5 } \right\}$
D) none of these

Question

Quizplus · Accepted Answer

To solve this equation, we need to find the values of x that make the product of the two factors equal to zero. By the zero-product property, we know that if the product of two factors is zero, then at least one of the factors must be zero. So we can set each factor equal to zero and solve for x:

$10x-1=0$ or $5x-4=0$

$10x=1$ or $5x=4$

$x=\frac{1}{10}$ or $x=\frac{4}{5}$

So the solutions to the equation are $x=\frac{1}{10}$ and $x=\frac{4}{5}$, which are both in choice A.

Solve the Equation (10x−1)(5x−4)=0( 10 x - 1 ) ( 5 x - 4 ) = 0(10x−1)(5x−4)=0

Solve the Equation $( 10 x - 1 ) ( 5 x - 4 ) = 0$