SOLUTION: r + 3/r = -4 Where do I begin?

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Question 672670: r + 3/r = -4
Where do I begin?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

r+%2B+3%2Fr+=+-4......first both sides multiply by r to eliminate
r out of denominator

r%2Ar+%2B+3%2Ar%2Fr+=+-4%2Ar

r%5E2+%2B+3=+-4r.....move -4r to the left

r%5E2%2B4r+%2B+3=+0.........use quadratic formula to solve for r

r=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+

r=+%28-4+%2B-+sqrt%28+4%5E2-4%2A1%2A3+%29%29%2F%282%2A1%29+

r=+%28-4+%2B-+sqrt%28+16-12+%29%29%2F2+

r=+%28-4+%2B-+sqrt%28+4+%29%29%2F2+

r=+%28-4+%2B-+2%29%2F2+

solutions:
r=+%28-4+%2B+2%29%2F2+
r=+-2%2F2+
highlight%28r=+-1%29+

r=+%28-4+-+2%29%2F2+
r=+-6%2F2+
highlight%28r=+-3%29+