Solve 3/x-1-1/x^2-1=0

$$\frac { 3 } { x - 1 } - \frac { 1 } { x ^ { 2 } - 1 } = 0$$

Solve for x

$$x=-\frac{2}{3}\approx -0.666666667$$

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.

$$\left(x+1\right)\times 3-1=0$$

Use the distributive property to multiply x+1 by 3.

$$3x+3-1=0$$

Subtract 1 from 3 to get 2.

$$3x+2=0$$

Subtract 2 from both sides. Anything subtracted from zero gives its negation.

$$3x=-2$$

Divide both sides by 3.

$$x=\frac{-2}{3}$$

Fraction \frac{-2}{3} can be rewritten as -\frac{2}{3} by extracting the negative sign.

$$x=-\frac{2}{3}$$