What is the answer to 1/(2+2b)= 5/2 ?

The answer to 1/(2+2b)= 5/2 is b=-4/5

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1/(2+2b)= 5/2

\frac{1}{2 + 2 b} = \frac{5}{2}

b = - \frac{4}{5}

Decimal Notation

b = - 0.8

Solution steps

\frac{1}{2 + 2 b} = \frac{5}{2}

Cross multiply

2 = (2 + 2 b) \cdot 5

Switch sides

(2 + 2 b) \cdot 5 = 2

Divide both sides by

5

2 + 2 b = \frac{2}{5}

Move

2

to the right side

2 b = - \frac{8}{5}

Divide both sides by

2

b = - \frac{4}{5}

Verify Solutions

Find undefined (singularity) points:

b = - 1

Combine undefined points with solutions:

b = - \frac{4}{5}

u, f = \frac{x ^{4}}{u} \cdot \frac{( x + 2 )}{v}

0.2 = \frac{- 198}{n ^{3} - n}

\frac{y ^{2} - 5}{3 \cdot y} = \frac{- 1}{3}

\frac{3}{( x - 2 )} - \frac{2}{( x - 3 )} = \frac{4}{( x - 3 )} - \frac{3}{( x - 1 )}

(0.5)^{3} = (y)^{- 3}