What is the answer to solvefor x,(90)/x-(90)/((x-5))=-1/4 ?

The answer to solvefor x,(90)/x-(90)/((x-5))=-1/4 is x=-40,x=45

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Solve for x 90/x-90/(x-5)=-1/4

solve for

x, \frac{90}{x} - \frac{90}{( x - 5 )} = - \frac{1}{4}

x = - 40, x = 45

Solution steps

\frac{90}{x} - \frac{90}{( x - 5 )} = - \frac{1}{4}

Multiply by LCM

360 (x - 5) - 360 x = - x (x - 5)

Solve

360 (x - 5) - 360 x = - x (x - 5) : x = - 40, x = 45

x = - 40, x = 45

Verify Solutions

Find undefined (singularity) points:

x = 0, x = 5

Combine undefined points with solutions:

x = - 40, x = 45

\frac{13}{2}

\frac{( x ^{7} )}{( x ^{2} )}

74%

x, 3 (2^{x}) = 6

x^{2} - 9 x - 8

What is the answer to solvefor x,(90)/x-(90)/((x-5))=-1/4 ?
The answer to solvefor x,(90)/x-(90)/((x-5))=-1/4 is x=-40,x=45