Solve h=-16t^2+140t+36m

$$h = - 16 t ^ { 2 } + 140 t + 36 m$$

Solve for m

$$m=\frac{16t^{2}-140t+h}{36}$$

Steps for Solving Linear Equation

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

$$-16t^{2}+140t+36m=h$$

Add 16t^{2} to both sides.

$$140t+36m=h+16t^{2}$$

Subtract 140t from both sides.

$$36m=h+16t^{2}-140t$$

The equation is in standard form.

$$36m=16t^{2}-140t+h$$

Divide both sides by 36.

$$\frac{36m}{36}=\frac{16t^{2}-140t+h}{36}$$

Dividing by 36 undoes the multiplication by 36.

$$m=\frac{16t^{2}-140t+h}{36}$$

Divide h+16t^{2}-140t by 36.

$$m=\frac{4t^{2}}{9}+\frac{h}{36}-\frac{35t}{9}$$

Solve for h

$$h=36m-16t^{2}+140t$$