What is the answer to -5/(x(x-1))=(x+5)/x ?

The answer to -5/(x(x-1))=(x+5)/x is x=-4

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-5/(x(x-1))=(x+5)/x

- \frac{5}{x ( x - 1 )} = \frac{x + 5}{x}

x = - 4

Solution steps

- \frac{5}{x ( x - 1 )} = \frac{x + 5}{x}

Cross multiply

- 5 x = x (x - 1) (x + 5)

Solve

- 5 x = x (x - 1) (x + 5) : x = 0, x = - 4

x = 0, x = - 4

Verify Solutions

Find undefined (singularity) points:

x = 0, x = 1

Since the equation is undefined for:

0

x = - 4

2.7 = \frac{2.8}{29 \cdot 20.5 \cdot x}

y, \frac{x + y}{x - y} = x

\frac{12 x}{14 x - 2} \cdot 100 = 88.24

3 x - \frac{x + 3}{x - 1} = 2 x

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

What is the answer to -5/(x(x-1))=(x+5)/x ?
The answer to -5/(x(x-1))=(x+5)/x is x=-4
Solve for x: -5/(x(x-1))=(x+5)/x
The solution is x=-4