What is the answer to 1/f+40+1/25+f= 1/f ?

The answer to 1/f+40+1/25+f= 1/f is f=-1001/25

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1/f+40+1/25+f= 1/f

\frac{1}{f} + 40 + \frac{1}{25} + f = \frac{1}{f}

f = - \frac{1001}{25}

Decimal Notation

f = - 40.04

Solution steps

\frac{1}{f} + 40 + \frac{1}{25} + f = \frac{1}{f}

Subtract

\frac{1}{f}

from both sides

\frac{1}{f} + 40 + \frac{1}{25} + f - \frac{1}{f} = \frac{1}{f} - \frac{1}{f}

Simplify

40 + \frac{1}{25} + f = 0

Multiply both sides by

25

25 f + 1001 = 0

Move

1001

to the right side

25 f = - 1001

Divide both sides by

25

f = - \frac{1001}{25}

Verify Solutions

Find undefined (singularity) points:

f = 0

Combine undefined points with solutions:

f = - \frac{1001}{25}

\frac{b + 1}{b} = - 3

t, g = 2 \frac{h}{t ^{2}}

\frac{3 - 1}{x} = \frac{1}{2}

x^{2} + (\frac{1}{x ^{2}}) = 27

\frac{( 4 x - 1 )}{( 2 x )} = 5

What is the answer to 1/f+40+1/25+f= 1/f ?
The answer to 1/f+40+1/25+f= 1/f is f=-1001/25
Solve for f: 1/f+40+1/25+f= 1/f
The solution is f=-1001/25