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

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) (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.

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