8.2=8t+.5(-9.8)t^2

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Solution for 8.2=8t+.5(-9.8)t^2 equation: 


Simplifying
8.2 = 8t + 0.5(-9.8) * t2

Multiply 0.5 * -9.8
8.2 = 8t + -4.9t2

Solving
8.2 = 8t + -4.9t2

Solving for variable 't'.

Reorder the terms:
8.2 + -8t + 4.9t2 = 8t + -8t + -4.9t2 + 4.9t2

Combine like terms: 8t + -8t = 0
8.2 + -8t + 4.9t2 = 0 + -4.9t2 + 4.9t2
8.2 + -8t + 4.9t2 = -4.9t2 + 4.9t2

Combine like terms: -4.9t2 + 4.9t2 = 0.0
8.2 + -8t + 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'.
1.673469388 + -1.632653061t + t2 = 0

Move the constant term to the right:

Add '-1.673469388' to each side of the equation.
1.673469388 + -1.632653061t + -1.673469388 + t2 = 0 + -1.673469388

Reorder the terms:
1.673469388 + -1.673469388 + -1.632653061t + t2 = 0 + -1.673469388

Combine like terms: 1.673469388 + -1.673469388 = 0.000000000
0.000000000 + -1.632653061t + t2 = 0 + -1.673469388
-1.632653061t + t2 = 0 + -1.673469388

Combine like terms: 0 + -1.673469388 = -1.673469388
-1.632653061t + t2 = -1.673469388

The t term is -1.632653061t.  Take half its coefficient (-0.8163265305).
Square it (0.6663890044) and add it to both sides.

Add '0.6663890044' to each side of the equation.
-1.632653061t + 0.6663890044 + t2 = -1.673469388 + 0.6663890044

Reorder the terms:
0.6663890044 + -1.632653061t + t2 = -1.673469388 + 0.6663890044

Combine like terms: -1.673469388 + 0.6663890044 = -1.0070803836
0.6663890044 + -1.632653061t + t2 = -1.0070803836

Factor a perfect square on the left side:
(t + -0.8163265305)(t + -0.8163265305) = -1.0070803836

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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