3.14x^2+2.2x+x=-77

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Solution for 3.14x^2+2.2x+x=-77 equation: 


Simplifying
3.14x2 + 2.2x + x = -77

Reorder the terms:
2.2x + x + 3.14x2 = -77

Combine like terms: 2.2x + x = 3.2x
3.2x + 3.14x2 = -77

Solving
3.2x + 3.14x2 = -77

Solving for variable 'x'.

Reorder the terms:
77 + 3.2x + 3.14x2 = -77 + 77

Combine like terms: -77 + 77 = 0
77 + 3.2x + 3.14x2 = 0

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

Divide each side by '3.14'.
24.52229299 + 1.01910828x + x2 = 0

Move the constant term to the right:

Add '-24.52229299' to each side of the equation.
24.52229299 + 1.01910828x + -24.52229299 + x2 = 0 + -24.52229299

Reorder the terms:
24.52229299 + -24.52229299 + 1.01910828x + x2 = 0 + -24.52229299

Combine like terms: 24.52229299 + -24.52229299 = 0.00000000
0.00000000 + 1.01910828x + x2 = 0 + -24.52229299
1.01910828x + x2 = 0 + -24.52229299

Combine like terms: 0 + -24.52229299 = -24.52229299
1.01910828x + x2 = -24.52229299

The x term is 1.01910828x.  Take half its coefficient (0.50955414).
Square it (0.2596454216) and add it to both sides.

Add '0.2596454216' to each side of the equation.
1.01910828x + 0.2596454216 + x2 = -24.52229299 + 0.2596454216

Reorder the terms:
0.2596454216 + 1.01910828x + x2 = -24.52229299 + 0.2596454216

Combine like terms: -24.52229299 + 0.2596454216 = -24.2626475684
0.2596454216 + 1.01910828x + x2 = -24.2626475684

Factor a perfect square on the left side:
(x + 0.50955414)(x + 0.50955414) = -24.2626475684

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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