t=30.221*t^2-1078.07*t+40413.668

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Solution for t=30.221*t^2-1078.07*t+40413.668 equation: 


Simplifying
t = 30.221t2 + -1078.07t + 40413.668

Reorder the terms:
t = 40413.668 + -1078.07t + 30.221t2

Solving
t = 40413.668 + -1078.07t + 30.221t2

Solving for variable 't'.

Reorder the terms:
-40413.668 + t + 1078.07t + -30.221t2 = 40413.668 + -1078.07t + 30.221t2 + -40413.668 + 1078.07t + -30.221t2

Combine like terms: t + 1078.07t = 1079.07t
-40413.668 + 1079.07t + -30.221t2 = 40413.668 + -1078.07t + 30.221t2 + -40413.668 + 1078.07t + -30.221t2

Reorder the terms:
-40413.668 + 1079.07t + -30.221t2 = 40413.668 + -40413.668 + -1078.07t + 1078.07t + 30.221t2 + -30.221t2

Combine like terms: 40413.668 + -40413.668 = 0.000
-40413.668 + 1079.07t + -30.221t2 = 0.000 + -1078.07t + 1078.07t + 30.221t2 + -30.221t2
-40413.668 + 1079.07t + -30.221t2 = -1078.07t + 1078.07t + 30.221t2 + -30.221t2

Combine like terms: -1078.07t + 1078.07t = 0.00
-40413.668 + 1079.07t + -30.221t2 = 0.00 + 30.221t2 + -30.221t2
-40413.668 + 1079.07t + -30.221t2 = 30.221t2 + -30.221t2

Combine like terms: 30.221t2 + -30.221t2 = 0.000
-40413.668 + 1079.07t + -30.221t2 = 0.000

Begin completing the square.  Divide all terms by
-30.221 the coefficient of the squared term: 

Divide each side by '-30.221'.
1337.271037 + -35.70596605t + t2 = 0

Move the constant term to the right:

Add '-1337.271037' to each side of the equation.
1337.271037 + -35.70596605t + -1337.271037 + t2 = 0 + -1337.271037

Reorder the terms:
1337.271037 + -1337.271037 + -35.70596605t + t2 = 0 + -1337.271037

Combine like terms: 1337.271037 + -1337.271037 = 0.000000
0.000000 + -35.70596605t + t2 = 0 + -1337.271037
-35.70596605t + t2 = 0 + -1337.271037

Combine like terms: 0 + -1337.271037 = -1337.271037
-35.70596605t + t2 = -1337.271037

The t term is -35.70596605t.  Take half its coefficient (-17.85298303).
Square it (318.7290031) and add it to both sides.

Add '318.7290031' to each side of the equation.
-35.70596605t + 318.7290031 + t2 = -1337.271037 + 318.7290031

Reorder the terms:
318.7290031 + -35.70596605t + t2 = -1337.271037 + 318.7290031

Combine like terms: -1337.271037 + 318.7290031 = -1018.5420339
318.7290031 + -35.70596605t + t2 = -1018.5420339

Factor a perfect square on the left side:
(t + -17.85298303)(t + -17.85298303) = -1018.5420339

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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