Answer:
Either (x= -4/3 and 1/2) or (4/3 and 1/2)
Step-by-step explanation:
The question has the (3x 4) term without a + or -, so I am going to solve for both.
We already know that anything multiplied by 0 is 0, so we can assume that in the equation (3x 4)(2x-1) = 0, either one of the terms in the parenthesis is equal to 0. We solve for both as if they are linear equations.
_____________________________________
(In the case that it is (3x+4)(2x-1)=0)
3x+4 = 0
3x=-4
x=-4/3
2x-1 = 0
2x=1
x=1/2
(x= -4/3 and 1/2)
______________________________________
(In the case that it is (3x+4)(2x-1)=0)
3x-4 = 0
3x=4
x=4/3
2x-1 = 0
2x=1
x=1/2
(x= 4/3 and 1/2)
