Solve s=-2pi^2+40t+6.5

$$s = - 2 \pi ^ { 2 } + 40 t + 6.5$$

Solve for t

$$t=\frac{s}{40}+\frac{\pi ^{2}}{20}-0.1625$$

Steps for Solving Linear Equation

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

$$-2\pi ^{2}+40t+6.5=s$$

Add 2\pi ^{2} to both sides.

$$40t+6.5=s+2\pi ^{2}$$

Subtract 6.5 from both sides.

$$40t=s+2\pi ^{2}-6.5$$

Divide both sides by 40.

$$\frac{40t}{40}=\frac{s+2\pi ^{2}-6.5}{40}$$

Dividing by 40 undoes the multiplication by 40.

$$t=\frac{s+2\pi ^{2}-6.5}{40}$$

Divide s+2\pi ^{2}-6.5 by 40.

$$t=\frac{s}{40}+\frac{\pi ^{2}}{20}-\frac{13}{80}$$

Solve for s

$$s=40t-2\pi ^{2}+6.5$$