Solve s=-16t^2+48t+256p

$$s = - 16 t ^ { 2 } + 48 t + 256 p$$

Solve for p

$$p=\frac{s+16t^{2}-48t}{256}$$

Steps for Solving Linear Equation

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

$$-16t^{2}+48t+256p=s$$

Add 16t^{2} to both sides.

$$48t+256p=s+16t^{2}$$

Subtract 48t from both sides.

$$256p=s+16t^{2}-48t$$

Divide both sides by 256.

$$\frac{256p}{256}=\frac{s+16t^{2}-48t}{256}$$

Dividing by 256 undoes the multiplication by 256.

$$p=\frac{s+16t^{2}-48t}{256}$$

Divide s+16t^{2}-48t by 256.

$$p=\frac{t^{2}}{16}+\frac{s}{256}-\frac{3t}{16}$$

Solve for s

$$s=256p-16t^{2}+48t$$