What is the answer to 4/(4b+5)= 2/(b-5) ?

The answer to 4/(4b+5)= 2/(b-5) is b=-15/2

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4/(4b+5)= 2/(b-5)

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

b = - \frac{15}{2}

Decimal Notation

b = - 7.5

Solution steps

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

Cross multiply

4 b - 20 = 8 b + 10

Move

20

to the right side

4 b = 8 b + 30

Move

8 b

to the left side

- 4 b = 30

Divide both sides by

- 4

b = - \frac{15}{2}

Verify Solutions

Find undefined (singularity) points:

b = - \frac{5}{4}, b = 5

Combine undefined points with solutions:

b = - \frac{15}{2}

- \frac{10000}{x ^{2}} + 0.0025 = 0

\frac{1}{2 + 7 x} = 0

\frac{3}{2 x + 5} = \frac{- 1}{x - 5}

\frac{100 - 150}{( 1 + x )} = 0

\frac{x ^{2}}{x + 60} = 30

What is the answer to 4/(4b+5)= 2/(b-5) ?
The answer to 4/(4b+5)= 2/(b-5) is b=-15/2
Solve for b: 4/(4b+5)= 2/(b-5)
The solution is b=-15/2