SOLUTION: Solve for x. 4x(x-2) - 5x(x-1) = 2

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Solve for x. 4x(x-2) - 5x(x-1) = 2      Log On


   

Question 132755: Solve for x.
4x(x-2) - 5x(x-1) = 2
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
4x%28x-2%29+-+5x%28x-1%29+=+2
4x%5E2+-+8x+-+5x%5E2+%2B+5x+=+2
Add 4x%5E2+-+5x%5E2+=+-x%5E2
Add x%5E2 to both sides
Add -8x+%2B+5x+=+-+3x
Add 3x to both sides
x%5E2+%2B+3x+%2B+2+=+0
%28x%2B2%29%28x%2B1%29+=+0
x+=+-2 answer
x+=+-1 answer
These are the values of x that make the above equation true