x*2+x^2=3*x^2+1

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

Simplifying
x * 2 + x2 = 3x2 + 1

Reorder the terms for easier multiplication:
2x + x2 = 3x2 + 1

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

Solving
2x + x2 = 1 + 3x2

Solving for variable 'x'.

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

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

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

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

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

Begin completing the square.  Divide all terms by
-2 the coefficient of the squared term: 

Divide each side by '-2'.
0.5 + -1x + x2 = 0

Move the constant term to the right:

Add '-0.5' to each side of the equation.
0.5 + -1x + -0.5 + x2 = 0 + -0.5

Reorder the terms:
0.5 + -0.5 + -1x + x2 = 0 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -1x + x2 = 0 + -0.5
-1x + x2 = 0 + -0.5

Combine like terms: 0 + -0.5 = -0.5
-1x + x2 = -0.5

The x term is -1x.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1x + 0.25 + x2 = -0.5 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -0.5 + 0.25

Combine like terms: -0.5 + 0.25 = -0.25
0.25 + -1x + x2 = -0.25

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -0.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.