4.905x^2+4x+.82=0

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Solution for 4.905x^2+4x+.82=0 equation: 


Simplifying
4.905x2 + 4x + 0.82 = 0

Reorder the terms:
0.82 + 4x + 4.905x2 = 0

Solving
0.82 + 4x + 4.905x2 = 0

Solving for variable 'x'.

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

Divide each side by '4.905'.
0.1671763507 + 0.8154943935x + x2 = 0

Move the constant term to the right:

Add '-0.1671763507' to each side of the equation.
0.1671763507 + 0.8154943935x + -0.1671763507 + x2 = 0 + -0.1671763507

Reorder the terms:
0.1671763507 + -0.1671763507 + 0.8154943935x + x2 = 0 + -0.1671763507

Combine like terms: 0.1671763507 + -0.1671763507 = 0.0000000000
0.0000000000 + 0.8154943935x + x2 = 0 + -0.1671763507
0.8154943935x + x2 = 0 + -0.1671763507

Combine like terms: 0 + -0.1671763507 = -0.1671763507
0.8154943935x + x2 = -0.1671763507

The x term is 0.8154943935x.  Take half its coefficient (0.4077471968).
Square it (0.1662577765) and add it to both sides.

Add '0.1662577765' to each side of the equation.
0.8154943935x + 0.1662577765 + x2 = -0.1671763507 + 0.1662577765

Reorder the terms:
0.1662577765 + 0.8154943935x + x2 = -0.1671763507 + 0.1662577765

Combine like terms: -0.1671763507 + 0.1662577765 = -0.0009185742
0.1662577765 + 0.8154943935x + x2 = -0.0009185742

Factor a perfect square on the left side:
(x + 0.4077471968)(x + 0.4077471968) = -0.0009185742

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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