What is the answer to x/(x+3)+5/(x+4)=0 ?

The answer to x/(x+3)+5/(x+4)=0 is x=(-9+sqrt(21))/2 ,x=(-9-sqrt(21))/2

Solve for x: x/(x+3)+5/(x+4)=0

The solution is x=(-9+sqrt(21))/2 ,x=(-9-sqrt(21))/2

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\frac{x}{x + 3} + \frac{5}{x + 4} = 0

x = \frac{- 9 + 21}{2}, x = \frac{- 9 - 21}{2}

Decimal Notation

x = - 2.20871 \dots, x = - 6.79128 \dots

Solution steps

\frac{x}{x + 3} + \frac{5}{x + 4} = 0

Multiply by LCM

x (x + 4) + 5 (x + 3) = 0

Solve

x (x + 4) + 5 (x + 3) = 0 : x = \frac{- 9 + 21}{2}, x = \frac{- 9 - 21}{2}

x = \frac{- 9 + 21}{2}, x = \frac{- 9 - 21}{2}

Verify Solutions

Find undefined (singularity) points:

x = - 3, x = - 4

Combine undefined points with solutions:

x = \frac{- 9 + 21}{2}, x = \frac{- 9 - 21}{2}

6 - \frac{1}{x} = \frac{1}{x ^{2}}

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

\frac{28 x}{3 x - 1} = 10

f, f^{- 1} (x) = x^{3} + 1

\frac{3}{x} = \frac{1}{3}

What is the answer to x/(x+3)+5/(x+4)=0 ?
The answer to x/(x+3)+5/(x+4)=0 is x=(-9+sqrt(21))/2 ,x=(-9-sqrt(21))/2
Solve for x: x/(x+3)+5/(x+4)=0
The solution is x=(-9+sqrt(21))/2 ,x=(-9-sqrt(21))/2