What is the answer to 1+3/(x+2)= 3/(x^2+9x+14) ?

The answer to 1+3/(x+2)= 3/(x^2+9x+14) is x=-4,x=-8

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1+3/(x+2)= 3/(x^2+9x+14)

1 + \frac{3}{x + 2} = \frac{3}{x ^{2} + 9 x + 14}

x = - 4, x = - 8

Solution steps

1 + \frac{3}{x + 2} = \frac{3}{x ^{2} + 9 x + 14}

Multiply by LCM

(x + 2) (x + 7) + 3 (x + 7) = 3

Solve

(x + 2) (x + 7) + 3 (x + 7) = 3 : x = - 4, x = - 8

x = - 4, x = - 8

Verify Solutions

Find undefined (singularity) points:

x = - 2, x = - 7

Combine undefined points with solutions:

x = - 4, x = - 8

\frac{6}{x ^{2}} - \frac{49}{x} = 17

\frac{8 1 ^{3 x + 2}}{9 ^{- 3 x}} = 243

1 - \frac{9}{x} = - 8 x

\frac{11}{x - 9} = \frac{11}{9}

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

What is the answer to 1+3/(x+2)= 3/(x^2+9x+14) ?
The answer to 1+3/(x+2)= 3/(x^2+9x+14) is x=-4,x=-8
Solve for x: 1+3/(x+2)= 3/(x^2+9x+14)
The solution is x=-4,x=-8