What is the answer to (x^2-25)/(x+5)+5x=0 ?

The answer to (x^2-25)/(x+5)+5x=0 is x= 5/6

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(x^2-25)/(x+5)+5x=0

\frac{x ^{2} - 25}{x + 5} + 5 x = 0

x = \frac{5}{6}

Decimal

x = 0.83333 \dots

Solution steps

\frac{x ^{2} - 25}{x + 5} + 5 x = 0

Simplify

\frac{x ^{2} - 25}{x + 5} : x - 5

x - 5 + 5 x = 0

Group like terms

x + 5 x - 5 = 0

Add similar elements:

x + 5 x = 6 x

6 x - 5 = 0

Move

5

to the right side

6 x = 5

Divide both sides by

6

x = \frac{5}{6}

Verify Solutions

Find undefined (singularity) points:

x = - 5

Combine undefined points with solutions:

x = \frac{5}{6}

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

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

0.078 = \frac{0.2 + x}{2 - 2 x}

\frac{- 2 x ^{2} + a x - 35}{3 x + 15}

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

What is the answer to (x^2-25)/(x+5)+5x=0 ?
The answer to (x^2-25)/(x+5)+5x=0 is x= 5/6
Solve for x: (x^2-25)/(x+5)+5x=0
The solution is x= 5/6