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

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

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(2x)/5 =(x^2-5x)/(5x)

\frac{2 x}{5} = \frac{x ^{2} - 5 x}{5 x}

x = - 5

Solution steps

\frac{2 x}{5} = \frac{x ^{2} - 5 x}{5 x}

Simplify

\frac{x ^{2} - 5 x}{5 x} : \frac{x - 5}{5}

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

Multiply both sides by

5

2 x = x - 5

Move

x

to the left side

x = - 5

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - 5

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

y, x = \frac{y}{y + 2}

\frac{72}{x} = \frac{3.6}{0.015}

\frac{4}{x} + \frac{8}{x + 2} = 4

10 + \frac{3 x}{x - 4} = \frac{5 x}{x - 4}

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