SOLUTION: I need help! I am trying to figure this problem out. The problem is to solve by factoring: x^2-13x=-12 If someone can help, I need it!

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Question 152982This question is from textbook Intermediate Algebra
: I need help! I am trying to figure this problem out. The problem is to solve by factoring: x^2-13x=-12
If someone can help, I need it!
This question is from textbook Intermediate Algebra

Answer by orca(409) About Me  (Show Source):
You can put this solution on YOUR website!
First write the equation in standard form:
x%5E2-13x%2B12=0
Note that 12 can be factored as 12= (-1)*(-12), and the sum of the two factors is 13, which is equal to the coefficient of the middle term of the equation.
Thus the left side of the equation can be factored as
%28x-1%29%28x-12%29=0
So x - 1 = 0 or x - 12 = 0
From x - 1 = 0 we have x = 1
From x - 12 = 0 we have x = 12
Thus the solutions to the equation are:
x = 1 or x = 12.