2x^2+4=x-6

Solution for 2x^2+4=x-6 equation:

Simplifying
2x2 + 4 = x + -6

Reorder the terms:
4 + 2x2 = x + -6

Reorder the terms:
4 + 2x2 = -6 + x

Solving
4 + 2x2 = -6 + x

Solving for variable 'x'.

Reorder the terms:
4 + 6 + -1x + 2x2 = -6 + x + 6 + -1x

Combine like terms: 4 + 6 = 10
10 + -1x + 2x2 = -6 + x + 6 + -1x

Reorder the terms:
10 + -1x + 2x2 = -6 + 6 + x + -1x

Combine like terms: -6 + 6 = 0
10 + -1x + 2x2 = 0 + x + -1x
10 + -1x + 2x2 = x + -1x

Combine like terms: x + -1x = 0
10 + -1x + 2x2 = 0

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

Divide each side by '2'.
5 + -0.5x + x2 = 0

Move the constant term to the right:

Add '-5' to each side of the equation.
5 + -0.5x + -5 + x2 = 0 + -5

Reorder the terms:
5 + -5 + -0.5x + x2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -0.5x + x2 = 0 + -5
-0.5x + x2 = 0 + -5

Combine like terms: 0 + -5 = -5
-0.5x + x2 = -5

The x term is -0.5x.  Take half its coefficient (-0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
-0.5x + 0.0625 + x2 = -5 + 0.0625

Reorder the terms:
0.0625 + -0.5x + x2 = -5 + 0.0625

Combine like terms: -5 + 0.0625 = -4.9375
0.0625 + -0.5x + x2 = -4.9375

Factor a perfect square on the left side:
(x + -0.25)(x + -0.25) = -4.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.