4.905x^2+5x+5=0

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Solution for 4.905x^2+5x+5=0 equation:


Simplifying
4.905x2 + 5x + 5 = 0

Reorder the terms:
5 + 5x + 4.905x2 = 0

Solving
5 + 5x + 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'.
1.019367992 + 1.019367992x + x2 = 0

Move the constant term to the right:

Add '-1.019367992' to each side of the equation.
1.019367992 + 1.019367992x + -1.019367992 + x2 = 0 + -1.019367992

Reorder the terms:
1.019367992 + -1.019367992 + 1.019367992x + x2 = 0 + -1.019367992

Combine like terms: 1.019367992 + -1.019367992 = 0.000000000
0.000000000 + 1.019367992x + x2 = 0 + -1.019367992
1.019367992x + x2 = 0 + -1.019367992

Combine like terms: 0 + -1.019367992 = -1.019367992
1.019367992x + x2 = -1.019367992

The x term is 1.019367992x.  Take half its coefficient (0.509683996).
Square it (0.2597777758) and add it to both sides.

Add '0.2597777758' to each side of the equation.
1.019367992x + 0.2597777758 + x2 = -1.019367992 + 0.2597777758

Reorder the terms:
0.2597777758 + 1.019367992x + x2 = -1.019367992 + 0.2597777758

Combine like terms: -1.019367992 + 0.2597777758 = -0.7595902162
0.2597777758 + 1.019367992x + x2 = -0.7595902162

Factor a perfect square on the left side:
(x + 0.509683996)(x + 0.509683996) = -0.7595902162

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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