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

The answer to x/(x-3)=-5/(x+5) is x=-5+2sqrt(10),x=-5-2sqrt(10)

Solve for x: x/(x-3)=-5/(x+5)

The solution is x=-5+2sqrt(10),x=-5-2sqrt(10)

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\frac{x}{x - 3} = - \frac{5}{x + 5}

x = - 5 + 210, x = - 5 - 210

Decimal Notation

x = 1.32455 \dots, x = - 11.32455 \dots

Solution steps

\frac{x}{x - 3} = - \frac{5}{x + 5}

Cross multiply

x (x + 5) = - (x - 3) \cdot 5

Solve

x (x + 5) = - (x - 3) \cdot 5 : x = - 5 + 210, x = - 5 - 210

x = - 5 + 210, x = - 5 - 210

Verify Solutions

Find undefined (singularity) points:

x = 3, x = - 5

Combine undefined points with solutions:

x = - 5 + 210, x = - 5 - 210

4 = \frac{7.6}{x}

1 = \frac{3}{x}

1 - \frac{1}{k ^{2}} = 0.84

\frac{1}{5 x + 2} = 8

\frac{x + 5}{5} = \frac{6}{x - 2}

What is the answer to x/(x-3)=-5/(x+5) ?
The answer to x/(x-3)=-5/(x+5) is x=-5+2sqrt(10),x=-5-2sqrt(10)
Solve for x: x/(x-3)=-5/(x+5)
The solution is x=-5+2sqrt(10),x=-5-2sqrt(10)