What is the answer to (4b^2-2b)/(10b-5)=10 ?

The answer to (4b^2-2b)/(10b-5)=10 is b=25

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(4b^2-2b)/(10b-5)=10

\frac{4 b ^{2} - 2 b}{10 b - 5} = 10

b = 25

Solution steps

\frac{4 b ^{2} - 2 b}{10 b - 5} = 10

Simplify

\frac{4 b ^{2} - 2 b}{10 b - 5} : \frac{2 b}{5}

\frac{2 b}{5} = 10

Multiply both sides by

5

2 b = 50

Divide both sides by

2

b = 25

Verify Solutions

Find undefined (singularity) points:

b = \frac{1}{2}

Combine undefined points with solutions:

b = 25

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

3 V = \frac{3}{( 3 V ) ^{3}}

y + \frac{1}{5 y} = 180

\frac{2}{x + 2} = 4

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

What is the answer to (4b^2-2b)/(10b-5)=10 ?
The answer to (4b^2-2b)/(10b-5)=10 is b=25
Solve for b: (4b^2-2b)/(10b-5)=10
The solution is b=25