SOLUTION: How do I show work for this problem? 6x^(2)-5x=4

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Question 695055: How do I show work for this problem?
6x^(2)-5x=4
Answer by Ave(106) About Me  (Show Source):
You can put this solution on YOUR website!
6x%5E2-5x=4 add -4 to both sides
6x%5E2-5x-4=0 reverse foil
(2x+1)(3x-4)=0 set each of the values inside the ()'s equal to 0 and solve
2x+1=0
2x=-1
x=-1/2
and
3x-4=0
3x=4
x=4/3
you end up with two values for x
{-1/2, 4/3}