What is the answer to 3/a+4= 3/(2a) ?

The answer to 3/a+4= 3/(2a) is a=-3/8

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3/a+4= 3/(2a)

\frac{3}{a} + 4 = \frac{3}{2 a}

a = - \frac{3}{8}

Decimal Notation

a = - 0.375

Solution steps

\frac{3}{a} + 4 = \frac{3}{2 a}

Multiply by LCM

6 + 8 a = 3

Move

6

to the right side

8 a = - 3

Divide both sides by

8

a = - \frac{3}{8}

Verify Solutions

Find undefined (singularity) points:

a = 0

Combine undefined points with solutions:

a = - \frac{3}{8}

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

1 - x - \frac{36}{108 x + 18} = 0

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

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

\frac{13}{x - 1} = \frac{15}{x + 2}