SOLUTION: Solve for x: 4x(x-6)-5x(x-5)=-2 Please show work so I can understand your process. Thanks!

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Question 522616: Solve for x:
4x(x-6)-5x(x-5)=-2
Please show work so I can understand your process.
Thanks!

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for x:
4x(x-6)-5x(x-5)=-2
Please show work so I can understand your process.
**
4x(x-6)-5x(x-5)=-2
distribute or expand
4x^2-24x-5x^2+25x=-2
combine like terms
-x^2+x=-2
set equation=0
x^2-x-2=0
factor
(x-2)(x+1)=0
solve for x
x-2=0
x=2
or
x+1=0
x=-1
ans;
x=2 or -1