8.5=-16t^2+8.5t

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Solution for 8.5=-16t^2+8.5t equation:


Simplifying
8.5 = -16t2 + 8.5t

Reorder the terms:
8.5 = 8.5t + -16t2

Solving
8.5 = 8.5t + -16t2

Solving for variable 't'.

Reorder the terms:
8.5 + -8.5t + 16t2 = 8.5t + -8.5t + -16t2 + 16t2

Combine like terms: 8.5t + -8.5t = 0.0
8.5 + -8.5t + 16t2 = 0.0 + -16t2 + 16t2
8.5 + -8.5t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
8.5 + -8.5t + 16t2 = 0

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

Divide each side by '16'.
0.53125 + -0.53125t + t2 = 0

Move the constant term to the right:

Add '-0.53125' to each side of the equation.
0.53125 + -0.53125t + -0.53125 + t2 = 0 + -0.53125

Reorder the terms:
0.53125 + -0.53125 + -0.53125t + t2 = 0 + -0.53125

Combine like terms: 0.53125 + -0.53125 = 0.00000
0.00000 + -0.53125t + t2 = 0 + -0.53125
-0.53125t + t2 = 0 + -0.53125

Combine like terms: 0 + -0.53125 = -0.53125
-0.53125t + t2 = -0.53125

The t term is -0.53125t.  Take half its coefficient (-0.265625).
Square it (0.07055664063) and add it to both sides.

Add '0.07055664063' to each side of the equation.
-0.53125t + 0.07055664063 + t2 = -0.53125 + 0.07055664063

Reorder the terms:
0.07055664063 + -0.53125t + t2 = -0.53125 + 0.07055664063

Combine like terms: -0.53125 + 0.07055664063 = -0.46069335937
0.07055664063 + -0.53125t + t2 = -0.46069335937

Factor a perfect square on the left side:
(t + -0.265625)(t + -0.265625) = -0.46069335937

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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