Solve T^2=4pi^2/G

$$T ^ { 2 } = \frac { 4 \pi ^ { 2 } } { G }$$

Solve for G

$$G=4\times \left(\frac{\pi }{T}\right)^{2}$$

$$T\neq 0$$

Steps for Solving Linear Equation

Variable G cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by G.

$$GT^{2}=4\pi ^{2}$$

The equation is in standard form.

$$T^{2}G=4\pi ^{2}$$

Divide both sides by T^{2}.

$$\frac{T^{2}G}{T^{2}}=\frac{4\pi ^{2}}{T^{2}}$$

Dividing by T^{2} undoes the multiplication by T^{2}.

$$G=\frac{4\pi ^{2}}{T^{2}}$$

Variable G cannot be equal to 0.

$$G=\frac{4\pi ^{2}}{T^{2}}\text{, }G\neq 0$$

Solve for T

$$T=\frac{2\pi }{\sqrt{G}}$$

$$T=-\frac{2\pi }{\sqrt{G}}\text{, }G>0$$