What is the answer to x/(x+1)= x/(x-3) ?

The answer to x/(x+1)= x/(x-3) is x=0

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x/(x+1)= x/(x-3)

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

x = 0

Solution steps

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

Cross multiply

x^{2} - 3 x = x^{2} + x

Subtract

x^{2} + x

from both sides

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

Simplify

- 4 x = 0

Divide both sides by

- 4

x = 0

Verify Solutions

Find undefined (singularity) points:

x = - 1, x = 3

Combine undefined points with solutions:

x = 0

2 = \frac{9}{s - 5}

- 8 + \frac{4 x}{x + 1} = - 6 x

\frac{3}{4} = \frac{12}{x}

\frac{1}{x - 1} + 3 = \frac{13}{x - 1}

a, R^{3} = 5 + \frac{H}{a}