99=-16t^2+56t

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Solution for 99=-16t^2+56t equation:


Simplifying
99 = -16t2 + 56t

Reorder the terms:
99 = 56t + -16t2

Solving
99 = 56t + -16t2

Solving for variable 't'.

Reorder the terms:
99 + -56t + 16t2 = 56t + -56t + -16t2 + 16t2

Combine like terms: 56t + -56t = 0
99 + -56t + 16t2 = 0 + -16t2 + 16t2
99 + -56t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
99 + -56t + 16t2 = 0

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

Divide each side by '16'.
6.1875 + -3.5t + t2 = 0

Move the constant term to the right:

Add '-6.1875' to each side of the equation.
6.1875 + -3.5t + -6.1875 + t2 = 0 + -6.1875

Reorder the terms:
6.1875 + -6.1875 + -3.5t + t2 = 0 + -6.1875

Combine like terms: 6.1875 + -6.1875 = 0.0000
0.0000 + -3.5t + t2 = 0 + -6.1875
-3.5t + t2 = 0 + -6.1875

Combine like terms: 0 + -6.1875 = -6.1875
-3.5t + t2 = -6.1875

The t term is -3.5t.  Take half its coefficient (-1.75).
Square it (3.0625) and add it to both sides.

Add '3.0625' to each side of the equation.
-3.5t + 3.0625 + t2 = -6.1875 + 3.0625

Reorder the terms:
3.0625 + -3.5t + t2 = -6.1875 + 3.0625

Combine like terms: -6.1875 + 3.0625 = -3.125
3.0625 + -3.5t + t2 = -3.125

Factor a perfect square on the left side:
(t + -1.75)(t + -1.75) = -3.125

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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