.2=10+4.9t+4.9t^2

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Solution for .2=10+4.9t+4.9t^2 equation: 


Simplifying
0.2 = 10 + 4.9t + 4.9t2

Solving
0.2 = 10 + 4.9t + 4.9t2

Solving for variable 't'.

Combine like terms: 0.2 + -10 = -9.8
-9.8 + -4.9t + -4.9t2 = 10 + 4.9t + 4.9t2 + -10 + -4.9t + -4.9t2

Reorder the terms:
-9.8 + -4.9t + -4.9t2 = 10 + -10 + 4.9t + -4.9t + 4.9t2 + -4.9t2

Combine like terms: 10 + -10 = 0
-9.8 + -4.9t + -4.9t2 = 0 + 4.9t + -4.9t + 4.9t2 + -4.9t2
-9.8 + -4.9t + -4.9t2 = 4.9t + -4.9t + 4.9t2 + -4.9t2

Combine like terms: 4.9t + -4.9t = 0.0
-9.8 + -4.9t + -4.9t2 = 0.0 + 4.9t2 + -4.9t2
-9.8 + -4.9t + -4.9t2 = 4.9t2 + -4.9t2

Combine like terms: 4.9t2 + -4.9t2 = 0.0
-9.8 + -4.9t + -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'.
2 + t + t2 = 0

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + t + -2 + t2 = 0 + -2

Reorder the terms:
2 + -2 + t + t2 = 0 + -2

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

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

The t term is t.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
 + 0.25 + t2 = -2 + 0.25

Combine like terms:  + 0.25 = 1.25
1.25 + t2 = -2 + 0.25

Combine like terms: -2 + 0.25 = -1.75
1.25 + t2 = -1.75

Factor a perfect square on the left side:
(t + 0.5)(t + 0.5) = -1.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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