SOLUTION: 10x^-2+33x^-1-7=0 How do you solve this equation?

Question 652630: 10x^-2+33x^-1-7=0
How do you solve this equation?
Found 2 solutions by MathLover1, stanbon:
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

....find common denominator

...factor

... replace with

...group

solutions:

if ....->...

if ....->.....->...

if ...->...

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
10x^-2+33x^-1-7=0
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It's a quadratic with variable x^-1
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Let w = x^-1.
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10w^2 + 33w -7 = 0
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10w^2 + 35w-2w - 7 = 0
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5w(2w+7)-(2w+7) = 0
(2w+7)(5w-1) = 0
w = -7/2 or w = 1/5
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Solve for x:
x^-1 -7/2 or x^-1 = 1/5
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x = -2/7 or x = 5
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Cheers,
Stan H.
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