Solve for X: (2x-3)(5x+2)=0

(2x-3)(5x+2)=0

This is only possible if one or more of the given factors equal zero.
But we don't know which one, so

2x-3 = 0 OR 5x+2=0
2x = 3 OR 5x = -2
x = 3/2 or x = -2/5

To solve the equation (2x-3)(5x+2)=0, we need to find the values of x that make the equation true.

When the product of two factors is equal to 0, it means that at least one of the factors must be equal to 0. Therefore, we set each factor equal to 0 and solve for x.

First, set 2x-3 = 0:
2x = 3
x = 3/2

Next, set 5x+2 = 0:
5x = -2
x = -2/5

So the values of x that make the equation true are x = 3/2 and x = -2/5.