Solve for x: $$( x - 4 ) ( 8 x - 12 ) = 0$$
A) $\frac { 3 } { 2 }$ , 4
B) 1, 4
C) $\frac { 3 } { 2 }$ , 5
D) 0, 5
E) $\frac { 2 } { 3 }$ , 4

Question

Quizplus · Accepted Answer

We can use the zero product property which states that if the product of two factors is equal to zero, then at least one of the factors must be zero. Therefore, we set each factor equal to zero and solve for $x$:

$(x-4)(8x-12) = 0$

$x-4 = 0$ or $8x-12=0$

$x=4$ or $x=\frac{3}{2}$

So the solutions are $x=4$ and $x=\frac{3}{2}$, which are both in choice A.

Solve for X (x−4)(8x−12)=0( x - 4 ) ( 8 x - 12 ) = 0(x−4)(8x−12)=0

Solve for X $( x - 4 ) ( 8 x - 12 ) = 0$