SOLUTION: i am doing a factoring problem 75x^2=60x+12 but can't figure out the answer

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Question 804783: i am doing a factoring problem 75x^2=60x+12 but can't figure out the answer
Found 3 solutions by erica65404, stanbon, richwmiller:
Answer by erica65404(394) About Me  (Show Source):
You can put this solution on YOUR website!
start by making the equation equal to 0.
75x%5E2=60x%2B12
75x%5E2-60x-12=0
each of these coefficients can be divided by 3.
3%2825x%5E2-20x-4%29=0
you can't factor this number so you need to use the quadratic equation. We will ignore the 3 for now
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
x+=+%28-%28-20%29+%2B-+sqrt%28+%28-20%29%5E2-4%2A25%2A%28-4%29+%29%29%2F%282%2A25%29+
x+=+%2820+%2B-+20+sqrt%282%29%29%2F%2850%29+
simplify
x+=+%282+%2B-+2sqrt%282%29%29%2F%285%29
now we will bring the 3 back from earlier
x=3%28%282+%2B-+2sqrt%282%29%29%2F%285%29%29
x=%286+%2B-+6sqrt%282%29%29%2F%285%29

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
factoring problem 75x^2=60x+12
--------
75x^2 - 60x -12 = 0
------
25x^2 - 20x - 4 = 0
----
x = [20 +- sqrt(400-4*25*-4)]/50
----
x = [20 +- sqrt(800)]/50
----
x = [20+-20sqrt(2)]/50
----
x = [(2+-sqrt(5)]/5
-----
Factors::
(x - (2+sqrt(5))/5) and (x-(2-sqrt(5))/5)
==================
Cheers,
Stan H.
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Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
It can't be factored according to traditional factoring