What is the answer to (x+3)/(x-2)=(5x)/(x+6) ?

The answer to (x+3)/(x-2)=(5x)/(x+6) is x=-(-19+sqrt(649))/8 ,x=(19+sqrt(649))/8

Solve for x: (x+3)/(x-2)=(5x)/(x+6)

The solution is x=-(-19+sqrt(649))/8 ,x=(19+sqrt(649))/8

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\frac{x + 3}{x - 2} = \frac{5 x}{x + 6}

x = - \frac{- 19 + 649}{8}, x = \frac{19 + 649}{8}

Solution steps

\frac{x + 3}{x - 2} = \frac{5 x}{x + 6}

Cross multiply

(x + 3) (x + 6) = (x - 2) \cdot 5 x

Solve

(x + 3) (x + 6) = (x - 2) \cdot 5 x : x = - \frac{- 19 + 649}{8}, x = \frac{19 + 649}{8}

x = - \frac{- 19 + 649}{8}, x = \frac{19 + 649}{8}

Verify Solutions

Find undefined (singularity) points:

x = 2, x = - 6

Combine undefined points with solutions:

x = - \frac{- 19 + 649}{8}, x = \frac{19 + 649}{8}

\frac{4}{x} = \frac{- 2}{9}

\frac{1 - 2 x}{x} = 4

\frac{9}{x} = 3

\frac{1}{x + 3} + 4 = \frac{21}{x + 3}

135 = \frac{180 ( n - 2 )}{n}

What is the answer to (x+3)/(x-2)=(5x)/(x+6) ?
The answer to (x+3)/(x-2)=(5x)/(x+6) is x=-(-19+sqrt(649))/8 ,x=(19+sqrt(649))/8
Solve for x: (x+3)/(x-2)=(5x)/(x+6)
The solution is x=-(-19+sqrt(649))/8 ,x=(19+sqrt(649))/8