Rewrite the equation as .

Move to the left side of the equation by subtracting it from both sides.

Use the quadratic formula to find the solutions.

Substitute the values , , and into the quadratic formula and solve for .

Simplify the numerator.

Raise to the power of .

Apply the distributive property.

Multiply by .

Multiply by .

Apply the distributive property.

Multiply by .

Multiply by .

Add and .

Factor out of .

Factor out of .

Factor out of .

Factor out of .

Rewrite as .

Rewrite as .

Rewrite as .

Pull terms out from under the radical.

The absolute value is the distance between a number and zero. The distance between and is .

Raise to the power of .

Multiply by .

Simplify .

Simplify the numerator.

Raise to the power of .

Apply the distributive property.

Multiply by .

Multiply by .

Apply the distributive property.

Multiply by .

Multiply by .

Add and .

Factor out of .

Factor out of .

Factor out of .

Factor out of .

Rewrite as .

Rewrite as .

Rewrite as .

Pull terms out from under the radical.

The absolute value is the distance between a number and zero. The distance between and is .

Raise to the power of .

Multiply by .

Simplify .

Change the to .

Simplify the numerator.

Raise to the power of .

Apply the distributive property.

Multiply by .

Multiply by .

Apply the distributive property.

Multiply by .

Multiply by .

Add and .

Factor out of .

Factor out of .

Factor out of .

Factor out of .

Rewrite as .

Rewrite as .

Rewrite as .

Pull terms out from under the radical.

The absolute value is the distance between a number and zero. The distance between and is .

Raise to the power of .

Multiply by .

Simplify .

Change the to .

The final answer is the combination of both solutions.

Write as a Function of h h=-16t^2+48t+160