SOLUTION: 2(x-14)+3x-4x(x-9)=10x+8

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Question 231261: 2(x-14)+3x-4x(x-9)=10x+8
Answer by texttutoring(324) About Me  (Show Source):
You can put this solution on YOUR website!
2(x-14)+3x-4x(x-9)=10x+8
You first need to get rid of the brackets by using distribution:
2x-28+3x-4x^2+36x=10x+8
Then set the right-hand side to zero:
2x-28+3x-4x^2+36x=10x+8-10x-8
2x-28+3x-4x^2+36x-10x-8=0
Now collect like terms:
-4x^2+31x-36=0
Now divide everything by -1:
4x^2-31x+36=0
Use the quadratic formula to find:
x=6.33 or x=1.42