3.14x^2+2.2x=-77

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


Simplifying
3.14x2 + 2.2x = -77

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

Solving
2.2x + 3.14x2 = -77

Solving for variable 'x'.

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

Combine like terms: -77 + 77 = 0
77 + 2.2x + 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 + 0.7006369427x + x2 = 0

Move the constant term to the right:

Add '-24.52229299' to each side of the equation.
24.52229299 + 0.7006369427x + -24.52229299 + x2 = 0 + -24.52229299

Reorder the terms:
24.52229299 + -24.52229299 + 0.7006369427x + x2 = 0 + -24.52229299

Combine like terms: 24.52229299 + -24.52229299 = 0.00000000
0.00000000 + 0.7006369427x + x2 = 0 + -24.52229299
0.7006369427x + x2 = 0 + -24.52229299

Combine like terms: 0 + -24.52229299 = -24.52229299
0.7006369427x + x2 = -24.52229299

The x term is 0.7006369427x.  Take half its coefficient (0.3503184714).
Square it (0.1227230314) and add it to both sides.

Add '0.1227230314' to each side of the equation.
0.7006369427x + 0.1227230314 + x2 = -24.52229299 + 0.1227230314

Reorder the terms:
0.1227230314 + 0.7006369427x + x2 = -24.52229299 + 0.1227230314

Combine like terms: -24.52229299 + 0.1227230314 = -24.3995699586
0.1227230314 + 0.7006369427x + x2 = -24.3995699586

Factor a perfect square on the left side:
(x + 0.3503184714)(x + 0.3503184714) = -24.3995699586

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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