What is the answer to (4x)/(x^2-25)= 1/(5-x) ?

The answer to (4x)/(x^2-25)= 1/(5-x) is x=-1

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(4x)/(x^2-25)= 1/(5-x)

\frac{4 x}{x ^{2} - 25} = \frac{1}{5 - x}

x = - 1

Solution steps

\frac{4 x}{x ^{2} - 25} = \frac{1}{5 - x}

Cross multiply

4 x (5 - x) = x^{2} - 25

Solve

4 x (5 - x) = x^{2} - 25 : x = - 1, x = 5

x = - 1, x = 5

Verify Solutions

Find undefined (singularity) points:

x = - 5, x = 5

Since the equation is undefined for:

5

x = - 1

y, 3 + \frac{5}{x} - y = 2

\frac{2 a - 3}{4 a - 5} = \frac{2}{5}

\frac{5 x - 8}{x - 1} = \frac{7 x - 4}{x + 2}

x - \frac{4 x + 8}{16 x} = \frac{1}{4 x}

\frac{2 x + 6}{x - 5} = \frac{x + 3}{x - 1}

What is the answer to (4x)/(x^2-25)= 1/(5-x) ?
The answer to (4x)/(x^2-25)= 1/(5-x) is x=-1
Solve for x: (4x)/(x^2-25)= 1/(5-x)
The solution is x=-1