Final answer:
To solve the equation 0 = 72 - 7x + 12 using factoring, rearrange the equation to get 0 on one side, factor out a common factor, and solve for x.
Step-by-step explanation:
To solve the equation 0 = 72 - 7x + 12 using factoring, we need to find two values of x that satisfy the equation. First, let's rearrange the equation to get 0 on one side:
0 = 72 - 7x + 12
Combine like terms:
0 = 84 - 7x
Now, let's factor out a common factor from the equation:
0 = 7(12 - x)
Set each factor equal to zero:
7 = 0 or 12 - x = 0
From the second equation, we can solve for x:
x = 12
So the two solutions to the equation are (7, 0) and (12, 0).