What is the answer to 1-6/x =-(5x)/(x+3) ?

The answer to 1-6/x =-(5x)/(x+3) is x=2,x=-3/2

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1-6/x =-(5x)/(x+3)

1 - \frac{6}{x} = - \frac{5 x}{x + 3}

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

Decimal Notation

x = 2, x = - 1.5

Solution steps

1 - \frac{6}{x} = - \frac{5 x}{x + 3}

Multiply by LCM

x (x + 3) - 6 (x + 3) = - 5 x^{2}

Solve

x (x + 3) - 6 (x + 3) = - 5 x^{2} : x = 2, x = - \frac{3}{2}

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

Verify Solutions

Find undefined (singularity) points:

x = 0, x = - 3

Combine undefined points with solutions:

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

\frac{1440000}{( x + 2256 )} = 240

t, y = (\frac{1}{a} - t^{2})^{- 1}

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

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

\frac{x ^{13} + x + 90}{x ^{2} - x + a}

What is the answer to 1-6/x =-(5x)/(x+3) ?
The answer to 1-6/x =-(5x)/(x+3) is x=2,x=-3/2
Solve for x: 1-6/x =-(5x)/(x+3)
The solution is x=2,x=-3/2