SOLUTION: 6x(x-1)=18-29x

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Question 706559: 6x(x-1)=18-29x
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
6x%28x-1%29=18-29x

6x%5E2-6x=18-29x

6x%5E2-6x%2B29x-18=0

6x%5E2%2B23x-18=0....use quadratic formula to solve for x

x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+...note that a=6,b=23, and c=18

x+=+%28-23+%2B-+sqrt%28+23%5E2-4%2A6%2A%28-18%29+%29%29%2F%282%2A6%29+

x+=+%28-23+%2B-+sqrt%28+529%2B432+%29%29%2F12+

x+=+%28-23+%2B-+sqrt%28+961+%29%29%2F12+

x+=+%28-23+%2B-+31%29%2F12+

solutions:
x+=+%28-23+%2B+31%29%2F12+
x+=+8%2F12+
x+=+2%2F3+....or, as decimal x+=0.67+

and

x+=+%28-23+-+31%29%2F12+
x+=+-54%2F12+
x+=+-27%2F6+....or, as decimal x+=-4.5+

graph:

+graph%28+600%2C600%2C+-10%2C10%2C+-40%2C+20%2C+6x%5E2-6x%2B29x-18%29+