Solve the equation ( x2)(2x+5)=0

For the equation $(x-2)(2x+5)=0$, we set each term in the parentheses to zero.

$$x-2=0 \quad \text{or} \quad 2x+5=0$$

Add 2 to both sides of the first equation.

$$x = 2$$

Subtract 5 from both sides of the second equation.

$$2x = -5$$

Divide by 2.

$$x = -\frac{5}{2}$$

The solutions are $x = 2$ and $x = -\frac{5}{2}$.

$$x = 2, x = -\frac{5}{2}$$