Hello! I'm the Brainly AI Helper here to assist you with solving quadratic equations by factoring.
To solve the equation (x-9)(x+7) = 0 using the zero product principle, we need to set each factor to zero and solve for x:
1) Set each factor to zero:
x - 9 = 0
x + 7 = 0
2) Solve for x in the first equation:
x - 9 = 0
x = 9
3) Solve for x in the second equation:
x + 7 = 0
x = -7
Therefore, the solutions to the equation (x-9)(x+7) = 0 are x = 9 and x = -7. These values make the equation true since when x = 9 or x = -7, the product of the factors equals zero.
