SOLUTION: {{{ z/z-2-1 /z+5=7 /z^2+3z-10}}}

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Question 347734: +z%2Fz-2-1+%2Fz%2B5=7+%2Fz%5E2%2B3z-10
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
z/(z-2) -1/(z+5) = 7/(z^2+3z-10)
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Multiply thru by z^2+3z-10 to get:
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z(z+5)-(z-2) = 7
z^2+4z+2 = 7
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z^2+4z-5 = 0
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(z+5)(z-1) =0
z = -5 or z = 1
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But z cannot be -5 as that would make z-5 = 0.
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Ans: x = 1
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Cheers,
Stan H.