SOLUTION: What does x equal in the quadratic equation {{{6x-17x+13+20x-32=180}}} please and thank you.

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Question 235727: What does x equal in the quadratic equation 6x-17x%2B13%2B20x-32=180
please and thank you.
Found 2 solutions by Jeff Gordon, josmiceli:
Answer by Jeff Gordon(65) About Me  (Show Source):
You can put this solution on YOUR website!
11x+1=180

subtract 1
11x= 179

x=16.28

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
6x%5E2-17x%2B13=20x-32
Subtract 20x from both sides
6x%5E2+-+37x+%2B+13+=+-32
Add 32 to both sides
6x%5E2+-+37x+%2B+45
Use quadratic formula
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
a+=+6
b+=+-37
c+=+45
x+=+%28-%28-37%29+%2B-+sqrt%28+%28-37%29%5E2-4%2A6%2A45+%29%29%2F%282%2A6%29+
x+=+%28+37+%2B-+sqrt%28+1369+-+1080+%29%29%2F12+
x+=+%28+37+%2B-+sqrt%28+289+%29%29%2F12+
x+=+%28+37+%2B-+17%29%2F12+
x+=+%2837%2B17%29%2F12
x+=+54%2F12
x+=+9%2F2
and
x+=+%2837+-+17%29%2F12
x+=+20%2F12
x+=+5%2F3
The solutions are x+=+9%2F2
and x+=+5%2F3