SOLUTION: Please help with the homework. Solve the following using quadratic formula (x+1)(x-2)+(x+2)(x+1)=2(3x-1)

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Question 1182090: Please help with the homework. Solve the following using quadratic formula
(x+1)(x-2)+(x+2)(x+1)=2(3x-1)
Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

%28x%2B1%29%28x-2%29%2B%28x%2B2%29%28x%2B1%29=2%283x-1%29.....expand
x%5E2+-+x+-+2%2Bx%5E2+%2B+3+x+%2B+2=6x-2
2x%5E2+%2B+2x+=6x-2....simplify, both sides divide by 2
x%5E2+%2B+x+=3x-1
x%5E2+%2B+x+-3x%2B1=0
x%5E2++-2x%2B1=0
use quadratic formula
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+....in your case a=1, b=-2, c=1
x+=+%28-%28-2%29+%2B-+sqrt%28+%28-2%29%5E2-4%2A1%2A1+%29%29%2F%282%2A1%29+
x+=+%282%29%2B-+sqrt%28+4-4+%29%29%2F2+
x+=+%282%29%2B-+sqrt%28+0+%29%29%2F2+
x+=+%282%29%2B-+0%29%2F2+
x+=+2%2F2+
x+=+1+


Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

It was solved under this link

https://www.algebra.com/algebra/homework/Finance/Finance.faq.question.1182089.html

https://www.algebra.com/algebra/homework/Finance/Finance.faq.question.1182089.html