(x-4) (x+7)=0

1 answer

To solve the equation (x-4)(x+7) = 0, we set each factor equal to zero and solve for x.

Setting x - 4 = 0, we add 4 to both sides:
x - 4 + 4 = 0 + 4
x = 4

Setting x + 7 = 0, we subtract 7 from both sides:
x + 7 - 7 = 0 - 7
x = -7

Therefore, the solutions to the equation are x = 4 and x = -7.