What is the answer to 7/(10b+20)=35 ?

The answer to 7/(10b+20)=35 is b=-99/50

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7/(10b+20)=35

\frac{7}{10 b + 20} = 35

b = - \frac{99}{50}

Decimal Notation

b = - 1.98

Solution steps

\frac{7}{10 b + 20} = 35

Multiply both sides by

10 b + 20

7 = 35 (10 b + 20)

Switch sides

35 (10 b + 20) = 7

Divide both sides by

35

10 b + 20 = \frac{1}{5}

Move

20

to the right side

10 b = - \frac{99}{5}

Divide both sides by

10

b = - \frac{99}{50}

Verify Solutions

Find undefined (singularity) points:

b = - 2

Combine undefined points with solutions:

b = - \frac{99}{50}

x, h (x^{2}) = \frac{4}{( x ^{2} + 5 )}

\frac{31}{16 - ( \frac{1}{3} x - 0.75 ) ^{2}} = \frac{3}{8}

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

\frac{3 x - 5}{x - 5} = \frac{2}{x + 5}

z, w = - \frac{z}{( z + 2 )} \frac{1}{2} (z - 12)