SOLUTION: I have a question in my Geometry book on vertical angles that I really need help on. Here is the problem: {{x^2-6x=1/2x+42}} I have to solve for x and I don't remember how

Algebra ->  Angles -> SOLUTION: I have a question in my Geometry book on vertical angles that I really need help on. Here is the problem: {{x^2-6x=1/2x+42}} I have to solve for x and I don't remember how       Log On


   

Question 54686This question is from textbook Geometry for Enjoyment and Challenge
: I have a question in my Geometry book on vertical angles that I really need help on. Here is the problem:
{{x^2-6x=1/2x+42}}

I have to solve for x and I don't remember how to. Can you please help?? This question is from textbook Geometry for Enjoyment and Challenge

Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
2x^2 - 12x = x + 84
2x^2 - 13x - 84 = 0
2x^2 - 21x + 8x - 84 = 0
(2x^2 - 21x) + (8x - 84) = 0
x(2x - 21) + 4(2x - 21) = 0
(x + 4)(2x - 21) = 0
x = -4 and x = 10.5