Solve -9/x+1-1/x^2-1=0

$$- \frac { 9 } { x + 1 } - \frac { 1 } { x ^ { 2 } - 1 } = 0$$

Solve for x

$$x=\frac{8}{9}\approx 0.888888889$$

Steps for Solving Linear Equation

Variable x cannot be equal to any of the values -1,1 since division by zero is not defined. Multiply both sides of the equation by \left(x-1\right)\left(x+1\right), the least common multiple of x+1,x^{2}-1.

$$-\left(x-1\right)\times 9-1=0$$

Use the distributive property to multiply x-1 by 9.

$$-\left(9x-9\right)-1=0$$

To find the opposite of 9x-9, find the opposite of each term.

$$-9x+9-1=0$$

Subtract 1 from 9 to get 8.

$$-9x+8=0$$

Subtract 8 from both sides. Anything subtracted from zero gives its negation.

$$-9x=-8$$

Divide both sides by -9.

$$x=\frac{-8}{-9}$$

Fraction \frac{-8}{-9} can be simplified to \frac{8}{9} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{8}{9}$$