SOLUTION: Please help. Solve for x, and simplify answers. 4x(x-2)-5x(x-1)=2. I have the problem simplified to -x^2-8x+3=0 (I think this is correct) then I think I use the quadratic eq

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Please help. Solve for x, and simplify answers. 4x(x-2)-5x(x-1)=2. I have the problem simplified to -x^2-8x+3=0 (I think this is correct) then I think I use the quadratic eq      Log On


   

Question 177874: Please help. Solve for x, and simplify answers. 4x(x-2)-5x(x-1)=2.
I have the problem simplified to -x^2-8x+3=0 (I think this is correct) then I think I use the quadratic equation and I got: 8+square root of 76 divided by -2 and 8-square root of 76 divided by -2.
Do I divide by two?
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!

Somewhere in the process of applying the distributive property and collecting like terms you went astray.







(after multiplying by -1)

Which factors quite tidily:



Hence,

And the following graph of the original function verifies the calculations.