SOLUTION: (3x^2-x)^2 - 5(3x^2-x) +6=0

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Question 846950: (3x^2-x)^2 - 5(3x^2-x) +6=0
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Substitute u=3x%5E2-x
u%5E2-5u%2B6=0
%28u-2%29%28u-3%29=0
Two "u" solutions:
u-2=0
u=2
3x%5E2-x=2
%28x-1%29%283x%2B2%29
Two "x" solutions:
x-1=0
x=1
and
3x%2B2=0
3x=-2
x=-2%2F3
.
.
.
u-3=0
u=3
3x%5E2-x=3
3x%5E2-x-3=0
Two more "x" solutions:
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
x+=+%28-%28-1%29+%2B-+sqrt%28+%28-1%29%5E2-4%2A3%2A%28-3%29+%29%29%2F%282%2A3%29+
x+=+%281+%2B-+sqrt%281%2B36+%29%29%2F%286%29+
x+=+%281+%2B-+sqrt%28+37%29%29%2F%286%29+