2x^2+2x+1=-x^2+3x-1

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Solution for 2x^2+2x+1=-x^2+3x-1 equation: 


Simplifying
2x2 + 2x + 1 = -1x2 + 3x + -1

Reorder the terms:
1 + 2x + 2x2 = -1x2 + 3x + -1

Reorder the terms:
1 + 2x + 2x2 = -1 + 3x + -1x2

Solving
1 + 2x + 2x2 = -1 + 3x + -1x2

Solving for variable 'x'.

Reorder the terms:
1 + 1 + 2x + -3x + 2x2 + x2 = -1 + 3x + -1x2 + 1 + -3x + x2

Combine like terms: 1 + 1 = 2
2 + 2x + -3x + 2x2 + x2 = -1 + 3x + -1x2 + 1 + -3x + x2

Combine like terms: 2x + -3x = -1x
2 + -1x + 2x2 + x2 = -1 + 3x + -1x2 + 1 + -3x + x2

Combine like terms: 2x2 + x2 = 3x2
2 + -1x + 3x2 = -1 + 3x + -1x2 + 1 + -3x + x2

Reorder the terms:
2 + -1x + 3x2 = -1 + 1 + 3x + -3x + -1x2 + x2

Combine like terms: -1 + 1 = 0
2 + -1x + 3x2 = 0 + 3x + -3x + -1x2 + x2
2 + -1x + 3x2 = 3x + -3x + -1x2 + x2

Combine like terms: 3x + -3x = 0
2 + -1x + 3x2 = 0 + -1x2 + x2
2 + -1x + 3x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
2 + -1x + 3x2 = 0

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

Divide each side by '3'.
0.6666666667 + -0.3333333333x + x2 = 0

Move the constant term to the right:

Add '-0.6666666667' to each side of the equation.
0.6666666667 + -0.3333333333x + -0.6666666667 + x2 = 0 + -0.6666666667

Reorder the terms:
0.6666666667 + -0.6666666667 + -0.3333333333x + x2 = 0 + -0.6666666667

Combine like terms: 0.6666666667 + -0.6666666667 = 0.0000000000
0.0000000000 + -0.3333333333x + x2 = 0 + -0.6666666667
-0.3333333333x + x2 = 0 + -0.6666666667

Combine like terms: 0 + -0.6666666667 = -0.6666666667
-0.3333333333x + x2 = -0.6666666667

The x term is -0.3333333333x.  Take half its coefficient (-0.1666666667).
Square it (0.02777777779) and add it to both sides.

Add '0.02777777779' to each side of the equation.
-0.3333333333x + 0.02777777779 + x2 = -0.6666666667 + 0.02777777779

Reorder the terms:
0.02777777779 + -0.3333333333x + x2 = -0.6666666667 + 0.02777777779

Combine like terms: -0.6666666667 + 0.02777777779 = -0.63888888891
0.02777777779 + -0.3333333333x + x2 = -0.63888888891

Factor a perfect square on the left side:
(x + -0.1666666667)(x + -0.1666666667) = -0.63888888891

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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