Solve S=h^2/r_{0}/h^2/T_{1}

$$S = \frac { h ^ { 2 } } { r _ { 0 } } / \frac { h ^ { 2 } } { T _ { 1 } }$$

Solve for T_1

$$T_{1}=Sr_{0}$$

$$r_{0}\neq 0\text{ and }S\neq 0\text{ and }h\neq 0$$

Solution Steps

Variable T_{1} cannot be equal to 0 since division by zero is not defined. Divide \frac{h^{2}}{r_{0}} by \frac{h^{2}}{T_{1}} by multiplying \frac{h^{2}}{r_{0}} by the reciprocal of \frac{h^{2}}{T_{1}}.

$$S=\frac{h^{2}T_{1}}{r_{0}h^{2}}$$

Cancel out h^{2} in both numerator and denominator.

$$S=\frac{T_{1}}{r_{0}}$$

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

$$\frac{T_{1}}{r_{0}}=S$$

Multiply both sides of the equation by r_{0}.

$$T_{1}=Sr_{0}$$

Variable T_{1} cannot be equal to 0.

$$T_{1}=Sr_{0}\text{, }T_{1}\neq 0$$

Solve for S

$$S=\frac{T_{1}}{r_{0}}$$

$$r_{0}\neq 0\text{ and }h\neq 0\text{ and }T_{1}\neq 0$$