How do I solve this problem?
(4x + 2)(x-3)=0
Set 4x+2 = 0 and solve for x.
set x-3 = 0 and solve for x.
You will have two answers for x.
To solve the equation (4x + 2)(x-3) = 0, you can use the zero product property. According to the zero product property, if the product of two factors equals zero, then at least one of the factors must equal zero.
1. Set the first factor, 4x + 2, equal to zero:
4x + 2 = 0
To isolate x, subtract 2 from both sides:
4x = -2
Then divide both sides by 4:
x = -2/4
Simplifying gives:
x = -1/2
2. Set the second factor, x - 3, equal to zero:
x - 3 = 0
To solve for x, add 3 to both sides:
x = 3
So the possible solutions for x are x = -1/2 and x = 3.