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

The answer to (4x)/(x+5)= x/(x+4) is x=0,x=-11/3

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(4x)/(x+5)= x/(x+4)

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

x = 0, x = - \frac{11}{3}

Decimal Notation

x = 0, x = - 3.66666 \dots

Solution steps

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

Cross multiply

4 x (x + 4) = (x + 5) x

Solve

4 x (x + 4) = (x + 5) x : x = 0, x = - \frac{11}{3}

x = 0, x = - \frac{11}{3}

Verify Solutions

Find undefined (singularity) points:

x = - 5, x = - 4

Combine undefined points with solutions:

x = 0, x = - \frac{11}{3}

\frac{x + 1}{x - 2} = \frac{4}{7}

10 = \frac{0.6}{x - 0.6} 10

- \frac{1}{y} = - y^{- 1}

\frac{5}{x} = 2

\frac{4 a - 1}{a - 1} = 3

What is the answer to (4x)/(x+5)= x/(x+4) ?
The answer to (4x)/(x+5)= x/(x+4) is x=0,x=-11/3
Solve for x: (4x)/(x+5)= x/(x+4)
The solution is x=0,x=-11/3