t=(4.9t^2)+20t+50

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Solution for t=(4.9t^2)+20t+50 equation: 


Simplifying
t = (4.9t2) + 20t + 50

Reorder the terms:
t = 50 + 20t + (4.9t2)

Solving
t = 50 + 20t + (4.9t2)

Solving for variable 't'.

Reorder the terms:
-50 + t + -20t + (-4.9t2) = 50 + 20t + (4.9t2) + -50 + -20t + (-4.9t2)

Combine like terms: t + -20t = -19t
-50 + -19t + (-4.9t2) = 50 + 20t + (4.9t2) + -50 + -20t + (-4.9t2)

Reorder the terms:
-50 + -19t + (-4.9t2) = 50 + -50 + 20t + -20t + (4.9t2) + (-4.9t2)

Combine like terms: 50 + -50 = 0
-50 + -19t + (-4.9t2) = 0 + 20t + -20t + (4.9t2) + (-4.9t2)
-50 + -19t + (-4.9t2) = 20t + -20t + (4.9t2) + (-4.9t2)

Combine like terms: 20t + -20t = 0
-50 + -19t + (-4.9t2) = 0 + (4.9t2) + (-4.9t2)
-50 + -19t + (-4.9t2) = (4.9t2) + (-4.9t2)

Combine like terms: (4.9t2) + (-4.9t2) = 0.0
-50 + -19t + (-4.9t2) = 0.0

Begin completing the square.  Divide all terms by
-4.9 the coefficient of the squared term: 

Divide each side by '-4.9'.
10.20408163 + 3.87755102t + t2 = 0

Move the constant term to the right:

Add '-10.20408163' to each side of the equation.
10.20408163 + 3.87755102t + -10.20408163 + t2 = 0 + -10.20408163

Reorder the terms:
10.20408163 + -10.20408163 + 3.87755102t + t2 = 0 + -10.20408163

Combine like terms: 10.20408163 + -10.20408163 = 0.00000000
0.00000000 + 3.87755102t + t2 = 0 + -10.20408163
3.87755102t + t2 = 0 + -10.20408163

Combine like terms: 0 + -10.20408163 = -10.20408163
3.87755102t + t2 = -10.20408163

The t term is 3.87755102t.  Take half its coefficient (1.93877551).
Square it (3.758850478) and add it to both sides.

Add '3.758850478' to each side of the equation.
3.87755102t + 3.758850478 + t2 = -10.20408163 + 3.758850478

Reorder the terms:
3.758850478 + 3.87755102t + t2 = -10.20408163 + 3.758850478

Combine like terms: -10.20408163 + 3.758850478 = -6.445231152
3.758850478 + 3.87755102t + t2 = -6.445231152

Factor a perfect square on the left side:
((t) + 1.93877551)((t) + 1.93877551) = -6.445231152

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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