Solve Using the Quadratic Formula h=70-10T-5t^2

$h = 70 - 10 T - 5 t^{2}$

Move all the expressions to the left side of the equation.

Subtract $70$ from both sides of the equation.

$h - 70 = - 10 T - 5 t^{2}$

Add $10 T$ to both sides of the equation.

$h - 70 + 10 T = - 5 t^{2}$

Add $5 t^{2}$ to both sides of the equation.

$h - 70 + 10 T + 5 t^{2} = 0$

Move all terms not containing $h$ to the right side of the equation.

Add $70$ to both sides of the equation.

$h + 10 T + 5 t^{2} = 70$

Subtract $10 T$ from both sides of the equation.

$h + 5 t^{2} = 70 - 10 T$

Subtract $5 t^{2}$ from both sides of the equation.

$h = 70 - 10 T - 5 t^{2}$