7x^2+3=x^2-2x

Solution for 7x^2+3=x^2-2x equation:

Simplifying
7x2 + 3 = x2 + -2x

Reorder the terms:
3 + 7x2 = x2 + -2x

Reorder the terms:
3 + 7x2 = -2x + x2

Solving
3 + 7x2 = -2x + x2

Solving for variable 'x'.

Reorder the terms:
3 + 2x + 7x2 + -1x2 = -2x + x2 + 2x + -1x2

Combine like terms: 7x2 + -1x2 = 6x2
3 + 2x + 6x2 = -2x + x2 + 2x + -1x2

Reorder the terms:
3 + 2x + 6x2 = -2x + 2x + x2 + -1x2

Combine like terms: -2x + 2x = 0
3 + 2x + 6x2 = 0 + x2 + -1x2
3 + 2x + 6x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
3 + 2x + 6x2 = 0

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

Divide each side by '6'.
0.5 + 0.3333333333x + x2 = 0

Move the constant term to the right:

Add '-0.5' to each side of the equation.
0.5 + 0.3333333333x + -0.5 + x2 = 0 + -0.5

Reorder the terms:
0.5 + -0.5 + 0.3333333333x + x2 = 0 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + 0.3333333333x + x2 = 0 + -0.5
0.3333333333x + x2 = 0 + -0.5

Combine like terms: 0 + -0.5 = -0.5
0.3333333333x + x2 = -0.5

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 = -0.5 + 0.02777777779

Reorder the terms:
0.02777777779 + 0.3333333333x + x2 = -0.5 + 0.02777777779

Combine like terms: -0.5 + 0.02777777779 = -0.47222222221
0.02777777779 + 0.3333333333x + x2 = -0.47222222221

Factor a perfect square on the left side:
(x + 0.1666666667)(x + 0.1666666667) = -0.47222222221

Can't calculate square root of the right side.

The solution to this equation could not be determined.