Solve the equation.
-(x - 7)(x + 6)= 0
A)7, -6
B)7, 6
C)7, -7, 6, -6
D)-7, 6

Question

Quizplus · Accepted Answer

To solve the equation, we can use the zero product property which states that if the product of two factors is equal to zero, then at least one of the factors must be zero.

So, we have:
(x - 7)(x + 6) = 0

This product will be zero if either (x - 7) = 0 or (x + 6) = 0.

Solving for x in each case, we get:
x - 7 = 0   or   x + 6 = 0
x = 7       or   x = -6

Therefore, the solutions to the equation are x = 7 and x = -6, which are given in choice A.

Solve the Equation. -(X - 7)(x + 6)= 0