What is the answer to (x+2)/(x+3)+3/(x^2+6x+9)=1 ?

The answer to (x+2)/(x+3)+3/(x^2+6x+9)=1 is x=0

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(x+2)/(x+3)+3/(x^2+6x+9)=1

\frac{x + 2}{x + 3} + \frac{3}{x ^{2} + 6 x + 9} = 1

x = 0

Solution steps

\frac{x + 2}{x + 3} + \frac{3}{x ^{2} + 6 x + 9} = 1

Multiply by LCM

x^{2} + 5 x + 9 = x^{2} + 6 x + 9

Move

9

to the right side

x^{2} + 5 x = x^{2} + 6 x

Subtract

x^{2} + 6 x

from both sides

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

Simplify

- x = 0

Divide both sides by

- 1

x = 0

Verify Solutions

Find undefined (singularity) points:

x = - 3

Combine undefined points with solutions:

x = 0

x^{2} + 36 x^{- 2} - 13 = 0

\frac{y ^{2}}{y - 3} = \frac{18}{2 y - 6}

\frac{3}{x} + \frac{x}{10} = \frac{11}{2 x}

- \frac{7}{2 u + 12} + 1 = - \frac{3}{u + 6}

\frac{250}{x} + \frac{360}{x + 10} = 11

What is the answer to (x+2)/(x+3)+3/(x^2+6x+9)=1 ?
The answer to (x+2)/(x+3)+3/(x^2+6x+9)=1 is x=0
Solve for x: (x+2)/(x+3)+3/(x^2+6x+9)=1
The solution is x=0