What is the answer to (8x)/(x+1)-5= 8/(x^2+x) ?

The answer to (8x)/(x+1)-5= 8/(x^2+x) is x= 8/3

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(8x)/(x+1)-5= 8/(x^2+x)

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

x = \frac{8}{3}

Decimal Notation

x = 2.66666 \dots

Solution steps

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

Multiply by LCM

8 x^{2} - 5 x (x + 1) = 8

Solve

8 x^{2} - 5 x (x + 1) = 8 : x = \frac{8}{3}, x = - 1

x = \frac{8}{3}, x = - 1

Verify Solutions

Find undefined (singularity) points:

x = - 1, x = 0

Since the equation is undefined for:

- 1

x = \frac{8}{3}

x + 7 = - \frac{12}{x}

y, y^{2} = \frac{x ^{2} - 49}{x ^{2} + 49}

f, - f = \frac{x}{x ^{2} + 1}

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

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

What is the answer to (8x)/(x+1)-5= 8/(x^2+x) ?
The answer to (8x)/(x+1)-5= 8/(x^2+x) is x= 8/3
Solve for x: (8x)/(x+1)-5= 8/(x^2+x)
The solution is x= 8/3