SOLUTION: can someone help me pls i need help by monday? solve the equation. check your answer. 2x/x-3+1/x+3=-6/x2-9

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Question 452171: can someone help me pls i need help by monday?
solve the equation. check your answer.
2x/x-3+1/x+3=-6/x2-9
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
2x%2F%28x-3%29%2B1%2F%28x%2B3%29=-6%2F%28x%5E2-9%29...common denominator for left side is %28x-3%29%28x%2B3%29


%282x%28x%2B3%29%2B1%28x-3%29%29%2F%28%28x%2B3%29%28x-3%29%29=-6%2F%28x%5E2-9%29....notice that %28x-3%29%28x%2B3%29=x%5E2-3%5E2=x%5E2-9...and it is denominator on the right side, so you can write:

is nominators
2x%28x%2B3%29%2B1%28x-3%29=-6
2x%5E2%2B6x%2B1x-3=-6
2x%5E2%2B7x-3%2B6=0
2x%5E2%2B7x%2B3=0.......now, use quadratic formula

x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+...notice that a=2, b=7 and c=3

x+=+%28-7+%2B-+sqrt%28+7%5E2-4%2A2%2A3+%29%29%2F%282%2A2%29+

x+=+%28-7+%2B-+sqrt%28+49-24+%29%29%2F4+

x+=+%28-7+%2B-+sqrt%28+25+%29%29%2F4+

x+=+%28-7+%2B-5+%29%2F4+
so, solutions are:
x+=+%28-7+%2B5+%29%2F4+
x+=+-2+%2F4+
x+=+-1+%2F2+

or
x+=+%28-7+-5+%29%2F4+
x+=+-12+%2F4+
x+=+-3+