Rewrite the equation as .

Combine and .

Combine and .

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

Apply the distributive property.

Simplify.

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Multiply by .

Move .

Reorder and .

Use the quadratic formula to find the solutions.

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

Simplify the numerator.

Let . Substitute for all occurrences of .

Apply the product rule to .

Raise to the power of .

Factor out of .

Factor out of .

Factor out of .

Factor out of .

Replace all occurrences of with .

Simplify each term.

Rewrite using the commutative property of multiplication.

Multiply by .

Rewrite as .

Pull terms out from under the radical.

Simplify .

The final answer is the combination of both solutions.

Solve for t d=vt+1/2*(at^2)