Use the Zero Product Property to solve the equation.
1. (x + 2)(x -5) = 60
(x+2)(x-5) = 60
x^2-5x +2x - 10 = 60
x^2 - 3x - 70 = 0
C = -70 = 7*(-10). B = 7 + (-10) = -3.
(x+7)(x-10) = 0
x+7 = 0, X = -7.
x-10 = 0, X = 10.
To solve the equation (x + 2)(x - 5) = 60 using the Zero Product Property, you need to set each factor equal to zero and solve for x.
First, set the first factor, (x + 2), equal to zero:
x + 2 = 0
Next, solve for x:
x = -2
Now, set the second factor, (x - 5), equal to zero:
x - 5 = 0
Solve for x again:
x = 5
Therefore, the solutions to the equation (x + 2)(x - 5) = 60 are x = -2 and x = 5.