Solve hx-1^2/1-x^2=1

$$h \frac { x - 1 ^ { 2 } } { 1 - x ^ { 2 } } = 1$$

Solve for h (complex solution)

$$h=-\left(x+1\right)$$

$$x\neq 1\text{ and }x\neq -1$$

Steps for Solving Linear Equation

Multiply both sides of the equation by \left(x-1\right)\left(-x-1\right).

$$h\left(x-1^{2}\right)=\left(x-1\right)\left(-x-1\right)$$

Calculate 1 to the power of 2 and get 1.

$$h\left(x-1\right)=\left(x-1\right)\left(-x-1\right)$$

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

$$hx-h=\left(x-1\right)\left(-x-1\right)$$

Use the distributive property to multiply x-1 by -x-1 and combine like terms.

$$hx-h=-x^{2}+1$$

Combine all terms containing h.

$$\left(x-1\right)h=-x^{2}+1$$

The equation is in standard form.

$$\left(x-1\right)h=1-x^{2}$$

Divide both sides by -1+x.

$$\frac{\left(x-1\right)h}{x-1}=\frac{1-x^{2}}{x-1}$$

Dividing by -1+x undoes the multiplication by -1+x.

$$h=\frac{1-x^{2}}{x-1}$$

Divide -x^{2}+1 by -1+x.

$$h=-x-1$$

Solve for h

$$h=-\left(x+1\right)$$

$$|x|\neq 1$$

Steps for Solving Linear Equation

Multiply both sides of the equation by \left(x-1\right)\left(-x-1\right).

$$h\left(x-1^{2}\right)=\left(x-1\right)\left(-x-1\right)$$

Calculate 1 to the power of 2 and get 1.

$$h\left(x-1\right)=\left(x-1\right)\left(-x-1\right)$$

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

$$hx-h=\left(x-1\right)\left(-x-1\right)$$

Use the distributive property to multiply x-1 by -x-1 and combine like terms.

$$hx-h=-x^{2}+1$$

Combine all terms containing h.

$$\left(x-1\right)h=-x^{2}+1$$

The equation is in standard form.

$$\left(x-1\right)h=1-x^{2}$$

Divide both sides by x-1.

$$\frac{\left(x-1\right)h}{x-1}=\frac{1-x^{2}}{x-1}$$

Dividing by x-1 undoes the multiplication by x-1.

$$h=\frac{1-x^{2}}{x-1}$$

Divide -x^{2}+1 by x-1.

$$h=-x-1$$

Solve for x

$$x=-\left(h+1\right)$$

$$h\neq 0\text{ and }h\neq -2$$