Solve the equation using the zero-product property
(x-2)(x+7)=0
To solve the equation using the zero-product property, we set each factor equal to zero and solve for x:
First factor: x-2=0
Adding 2 to both sides:
x = 2
Second factor: x+7=0
Subtracting 7 from both sides:
x = -7
Therefore, the solutions to the equation (x-2)(x+7)=0 are x = 2 and x = -7.