19.6=24.5t-16t^2

Solution for 19.6=24.5t-16t^2 equation:

Simplifying
19.6 = 24.5t + -16t2

Solving
19.6 = 24.5t + -16t2

Solving for variable 't'.

Reorder the terms:
19.6 + -24.5t + 16t2 = 24.5t + -24.5t + -16t2 + 16t2

Combine like terms: 24.5t + -24.5t = 0.0
19.6 + -24.5t + 16t2 = 0.0 + -16t2 + 16t2
19.6 + -24.5t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
19.6 + -24.5t + 16t2 = 0

Begin completing the square.  Divide all terms by
16 the coefficient of the squared term: 

Divide each side by '16'.
1.225 + -1.53125t + t2 = 0

Move the constant term to the right:

Add '-1.225' to each side of the equation.
1.225 + -1.53125t + -1.225 + t2 = 0 + -1.225

Reorder the terms:
1.225 + -1.225 + -1.53125t + t2 = 0 + -1.225

Combine like terms: 1.225 + -1.225 = 0.000
0.000 + -1.53125t + t2 = 0 + -1.225
-1.53125t + t2 = 0 + -1.225

Combine like terms: 0 + -1.225 = -1.225
-1.53125t + t2 = -1.225

The t term is -1.53125t.  Take half its coefficient (-0.765625).
Square it (0.5861816406) and add it to both sides.

Add '0.5861816406' to each side of the equation.
-1.53125t + 0.5861816406 + t2 = -1.225 + 0.5861816406

Reorder the terms:
0.5861816406 + -1.53125t + t2 = -1.225 + 0.5861816406

Combine like terms: -1.225 + 0.5861816406 = -0.6388183594
0.5861816406 + -1.53125t + t2 = -0.6388183594

Factor a perfect square on the left side:
(t + -0.765625)(t + -0.765625) = -0.6388183594

Can't calculate square root of the right side.

The solution to this equation could not be determined.