What is the answer to x= 6/(2x+1) ?

The answer to x= 6/(2x+1) is x= 3/2 ,x=-2

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x= 6/(2x+1)

x = \frac{6}{2 x + 1}

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

Decimal

x = 1.5, x = - 2

Solution steps

x = \frac{6}{2 x + 1}

Multiply both sides by

2 x + 1

x (2 x + 1) = 6

Solve

x (2 x + 1) = 6 : x = \frac{3}{2}, x = - 2

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

Verify Solutions

Find undefined (singularity) points:

x = - \frac{1}{2}

Combine undefined points with solutions:

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

\frac{3 x}{2} + \frac{5 - x}{x} = 4

\frac{1}{s + a}

x - \frac{x + 7}{x + 8} = \frac{x}{x + 8}

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

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