What is the answer to 1/(2a)-2/(2a-3)=0 ?

The answer to 1/(2a)-2/(2a-3)=0 is a=-3/2

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1/(2a)-2/(2a-3)=0

\frac{1}{2 a} - \frac{2}{2 a - 3} = 0

a = - \frac{3}{2}

Decimal Notation

a = - 1.5

Solution steps

\frac{1}{2 a} - \frac{2}{2 a - 3} = 0

Multiply by LCM

- 2 a - 3 = 0

Move

3

to the right side

- 2 a = 3

Divide both sides by

- 2

a = - \frac{3}{2}

Verify Solutions

Find undefined (singularity) points:

a = 0, a = \frac{3}{2}

Combine undefined points with solutions:

a = - \frac{3}{2}

\frac{8}{12} = \frac{20}{x}

\frac{2 x}{500 - x} = 54.3

\frac{x}{x} = x

1 - \frac{4}{x + 9} = \frac{7}{x}

\frac{3 x - 2}{4 x + 7} = 64

What is the answer to 1/(2a)-2/(2a-3)=0 ?
The answer to 1/(2a)-2/(2a-3)=0 is a=-3/2
Solve for a: 1/(2a)-2/(2a-3)=0
The solution is a=-3/2