0=4.9(t^2)+6t+2

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Solution for 0=4.9(t^2)+6t+2 equation:


Simplifying
0 = 4.9(t2) + 6t + 2

Reorder the terms:
0 = 2 + 6t + 4.9t2

Solving
0 = 2 + 6t + 4.9t2

Solving for variable 't'.

Combine like terms: 0 + -2 = -2
-2 + -6t + -4.9t2 = 2 + 6t + 4.9t2 + -2 + -6t + -4.9t2

Reorder the terms:
-2 + -6t + -4.9t2 = 2 + -2 + 6t + -6t + 4.9t2 + -4.9t2

Combine like terms: 2 + -2 = 0
-2 + -6t + -4.9t2 = 0 + 6t + -6t + 4.9t2 + -4.9t2
-2 + -6t + -4.9t2 = 6t + -6t + 4.9t2 + -4.9t2

Combine like terms: 6t + -6t = 0
-2 + -6t + -4.9t2 = 0 + 4.9t2 + -4.9t2
-2 + -6t + -4.9t2 = 4.9t2 + -4.9t2

Combine like terms: 4.9t2 + -4.9t2 = 0.0
-2 + -6t + -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'.
0.4081632653 + 1.224489796t + t2 = 0

Move the constant term to the right:

Add '-0.4081632653' to each side of the equation.
0.4081632653 + 1.224489796t + -0.4081632653 + t2 = 0 + -0.4081632653

Reorder the terms:
0.4081632653 + -0.4081632653 + 1.224489796t + t2 = 0 + -0.4081632653

Combine like terms: 0.4081632653 + -0.4081632653 = 0.0000000000
0.0000000000 + 1.224489796t + t2 = 0 + -0.4081632653
1.224489796t + t2 = 0 + -0.4081632653

Combine like terms: 0 + -0.4081632653 = -0.4081632653
1.224489796t + t2 = -0.4081632653

The t term is 1.224489796t.  Take half its coefficient (0.612244898).
Square it (0.3748438151) and add it to both sides.

Add '0.3748438151' to each side of the equation.
1.224489796t + 0.3748438151 + t2 = -0.4081632653 + 0.3748438151

Reorder the terms:
0.3748438151 + 1.224489796t + t2 = -0.4081632653 + 0.3748438151

Combine like terms: -0.4081632653 + 0.3748438151 = -0.0333194502
0.3748438151 + 1.224489796t + t2 = -0.0333194502

Factor a perfect square on the left side:
(t + 0.612244898)(t + 0.612244898) = -0.0333194502

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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