solve for x (2x-7)*(x+4)=0

i have an answer of (7/2 -4) is this correct or is the answer 5,4

To solve the equation (2x-7)*(x+4) = 0, we need to find the values of x that make the equation true.

To do this, we set each factor in the equation equal to zero and solve for x separately:

1. Set 2x-7 equal to zero:
2x-7 = 0
2x = 7
x = 7/2 or 3.5

2. Set x+4 equal to zero:
x+4 = 0
x = -4

So, the solution to the equation (2x-7)*(x+4) = 0 is x = 7/2 or x = -4.

Therefore, your answer of (7/2 - 4) is correct, and there is also an additional solution of x = -4.