Solve h^2/h^3+1=x

$$\frac { h ^ { 2 } } { h ^ { 3 } } + 1 = x$$

Solve for x

$$x=1+\frac{1}{h}$$

$$h\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by h^{3}.

$$h^{2}+h^{3}=xh^{3}$$

Swap sides so that all variable terms are on the left hand side.

$$xh^{3}=h^{2}+h^{3}$$

The equation is in standard form.

$$h^{3}x=h^{3}+h^{2}$$

Divide both sides by h^{3}.

$$\frac{h^{3}x}{h^{3}}=\frac{\left(h+1\right)h^{2}}{h^{3}}$$

Dividing by h^{3} undoes the multiplication by h^{3}.

$$x=\frac{\left(h+1\right)h^{2}}{h^{3}}$$

Divide \left(1+h\right)h^{2} by h^{3}.

$$x=1+\frac{1}{h}$$

Solve for h

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

$$x\neq 1$$