1.066=4.5t-9.8t^2

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Solution for 1.066=4.5t-9.8t^2 equation: 


Simplifying
1.066 = 4.5t + -9.8t2

Solving
1.066 = 4.5t + -9.8t2

Solving for variable 't'.

Reorder the terms:
1.066 + -4.5t + 9.8t2 = 4.5t + -4.5t + -9.8t2 + 9.8t2

Combine like terms: 4.5t + -4.5t = 0.0
1.066 + -4.5t + 9.8t2 = 0.0 + -9.8t2 + 9.8t2
1.066 + -4.5t + 9.8t2 = -9.8t2 + 9.8t2

Combine like terms: -9.8t2 + 9.8t2 = 0.0
1.066 + -4.5t + 9.8t2 = 0.0

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

Divide each side by '9.8'.
0.1087755102 + -0.4591836735t + t2 = 0

Move the constant term to the right:

Add '-0.1087755102' to each side of the equation.
0.1087755102 + -0.4591836735t + -0.1087755102 + t2 = 0 + -0.1087755102

Reorder the terms:
0.1087755102 + -0.1087755102 + -0.4591836735t + t2 = 0 + -0.1087755102

Combine like terms: 0.1087755102 + -0.1087755102 = 0.0000000000
0.0000000000 + -0.4591836735t + t2 = 0 + -0.1087755102
-0.4591836735t + t2 = 0 + -0.1087755102

Combine like terms: 0 + -0.1087755102 = -0.1087755102
-0.4591836735t + t2 = -0.1087755102

The t term is -0.4591836735t.  Take half its coefficient (-0.2295918368).
Square it (0.05271241153) and add it to both sides.

Add '0.05271241153' to each side of the equation.
-0.4591836735t + 0.05271241153 + t2 = -0.1087755102 + 0.05271241153

Reorder the terms:
0.05271241153 + -0.4591836735t + t2 = -0.1087755102 + 0.05271241153

Combine like terms: -0.1087755102 + 0.05271241153 = -0.05606309867
0.05271241153 + -0.4591836735t + t2 = -0.05606309867

Factor a perfect square on the left side:
(t + -0.2295918368)(t + -0.2295918368) = -0.05606309867

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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