What is the answer to x/(x+3)+2= 9/(x^2+3x) ?

The answer to x/(x+3)+2= 9/(x^2+3x) is x=1

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x/(x+3)+2= 9/(x^2+3x)

\frac{x}{x + 3} + 2 = \frac{9}{x ^{2} + 3 x}

x = 1

Solution steps

\frac{x}{x + 3} + 2 = \frac{9}{x ^{2} + 3 x}

Multiply by LCM

x^{2} + 2 x (x + 3) = 9

Solve

x^{2} + 2 x (x + 3) = 9 : x = 1, x = - 3

x = 1, x = - 3

Verify Solutions

Find undefined (singularity) points:

x = - 3, x = 0

Since the equation is undefined for:

- 3

x = 1

\frac{2 x}{x - 2} = - \frac{30}{x ^{2} - 10 x + 16}

y, \frac{2 x}{y} = \frac{2 y}{x}

x - \frac{3 x + 5}{x - 9} = 2 x

\frac{1}{5 x + 7} = 2

- 6 x + \frac{6}{x} = 0

What is the answer to x/(x+3)+2= 9/(x^2+3x) ?
The answer to x/(x+3)+2= 9/(x^2+3x) is x=1
Solve for x: x/(x+3)+2= 9/(x^2+3x)
The solution is x=1