What is the answer to 3/5+3/((2x-1))=0 ?

The answer to 3/5+3/((2x-1))=0 is x=-2

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3/5+3/((2x-1))=0

\frac{3}{5} + \frac{3}{( 2 x - 1 )} = 0

x = - 2

Solution steps

\frac{3}{5} + \frac{3}{( 2 x - 1 )} = 0

Multiply by LCM

3 (2 x - 1) + 15 = 0

Move

15

to the right side

3 (2 x - 1) = - 15

Divide both sides by

3

2 x - 1 = - 5

Move

1

to the right side

2 x = - 4

Divide both sides by

2

x = - 2

Verify Solutions

Find undefined (singularity) points:

x = \frac{1}{2}

Combine undefined points with solutions:

x = - 2

0 = \frac{1}{2 x ^{2}}

2 \frac{x}{x} - 4 + \frac{1}{x} - 2 + \frac{2}{x ^{2}} - 6 x + 8 = 0

\frac{6 x}{9 x + 16} = 12

b, a = \frac{1}{2} h (\frac{a}{b})

y^{^{''}} (t) + y^{^{'}} (t) - 2 y = \frac{0}{y} (0) = 4, y^{^{'}} (0) = - 5