What is the answer to 1/(2c+25)=49 ?

The answer to 1/(2c+25)=49 is c=-612/49

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1/(2c+25)=49

\frac{1}{2 c + 25} = 49

c = - \frac{612}{49}

Decimal Notation

c = - 12.48979 \dots

Solution steps

\frac{1}{2 c + 25} = 49

Multiply both sides by

2 c + 25

1 = 49 (2 c + 25)

Switch sides

49 (2 c + 25) = 1

Divide both sides by

49

2 c + 25 = \frac{1}{49}

Move

25

to the right side

2 c = - \frac{1224}{49}

Divide both sides by

2

c = - \frac{612}{49}

Verify Solutions

Find undefined (singularity) points:

c = - \frac{25}{2}

Combine undefined points with solutions:

c = - \frac{612}{49}

2 = \frac{4}{3} - \frac{5}{b}

\frac{4}{x + 1} + \frac{2}{x - 2} = 3

\frac{2}{3} = 3 x - \frac{6}{- x + 3}

\frac{5}{x} = \frac{8}{7}

\frac{2}{x + 5} - \frac{x}{x - 5} = 1