SOLUTION: Find the solutions to the equation: x -5/x=4

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Question 90025: Find the solutions to the equation: x -5/x=4
Answer by tutorcecilia(2152) About Me  (Show Source):
You can put this solution on YOUR website!
%28x+-5%2Fx%29 = 4 [solve for the x-term]
%28x%29%28x+-5%2Fx%29 = (x)(4) [multiply through by a common denominator (x)]

%28x%5E2+-+5%29=4x
%28x%5E2+-+5+-4x%29=0
%28x%5E2+-+4x+-+5%29=0
(x-5)(x+1) = 0 [factor]
.
x-5=0 [set each factor equal to zero and solve for the x-term]
x=5
.
x+1=0
x=-1
.
So, x=5 or x = -1
.
check by plugging the values of (x) back into the original equation and solve.