Use the Zero Product Property to solve the equation.
1. (x + 2)(x -5) = 60
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To solve the equation (x + 2)(x -5) = 60 using the Zero Product Property, we need to set each factor to zero and solve for x.
First, set the first factor x + 2 equal to zero:
x + 2 = 0
Now, solve for x by subtracting 2 from both sides of the equation:
x = -2
Next, set the second factor x - 5 equal to zero:
x - 5 = 0
Again, solve for x by adding 5 to both sides of the equation:
x = 5
Therefore, the solutions to the equation (x + 2)(x -5) = 60 are x = -2 and x = 5, since when either of these values is substituted back into the equation, we get 60 on both sides.