3.2=-9.8t^2+3.2t

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Solution for 3.2=-9.8t^2+3.2t equation:


Simplifying
3.2 = -9.8t2 + 3.2t

Reorder the terms:
3.2 = 3.2t + -9.8t2

Solving
3.2 = 3.2t + -9.8t2

Solving for variable 't'.

Reorder the terms:
3.2 + -3.2t + 9.8t2 = 3.2t + -3.2t + -9.8t2 + 9.8t2

Combine like terms: 3.2t + -3.2t = 0.0
3.2 + -3.2t + 9.8t2 = 0.0 + -9.8t2 + 9.8t2
3.2 + -3.2t + 9.8t2 = -9.8t2 + 9.8t2

Combine like terms: -9.8t2 + 9.8t2 = 0.0
3.2 + -3.2t + 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'.
0.3265306122 + -0.3265306122t + t2 = 0

Move the constant term to the right:

Add '-0.3265306122' to each side of the equation.
0.3265306122 + -0.3265306122t + -0.3265306122 + t2 = 0 + -0.3265306122

Reorder the terms:
0.3265306122 + -0.3265306122 + -0.3265306122t + t2 = 0 + -0.3265306122

Combine like terms: 0.3265306122 + -0.3265306122 = 0.0000000000
0.0000000000 + -0.3265306122t + t2 = 0 + -0.3265306122
-0.3265306122t + t2 = 0 + -0.3265306122

Combine like terms: 0 + -0.3265306122 = -0.3265306122
-0.3265306122t + t2 = -0.3265306122

The t term is -0.3265306122t.  Take half its coefficient (-0.1632653061).
Square it (0.02665556018) and add it to both sides.

Add '0.02665556018' to each side of the equation.
-0.3265306122t + 0.02665556018 + t2 = -0.3265306122 + 0.02665556018

Reorder the terms:
0.02665556018 + -0.3265306122t + t2 = -0.3265306122 + 0.02665556018

Combine like terms: -0.3265306122 + 0.02665556018 = -0.29987505202
0.02665556018 + -0.3265306122t + t2 = -0.29987505202

Factor a perfect square on the left side:
(t + -0.1632653061)(t + -0.1632653061) = -0.29987505202

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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