x+3=2x^2+4

Solution for x+3=2x^2+4 equation:

Simplifying
x + 3 = 2x2 + 4

Reorder the terms:
3 + x = 2x2 + 4

Reorder the terms:
3 + x = 4 + 2x2

Solving
3 + x = 4 + 2x2

Solving for variable 'x'.

Reorder the terms:
3 + -4 + x + -2x2 = 4 + 2x2 + -4 + -2x2

Combine like terms: 3 + -4 = -1
-1 + x + -2x2 = 4 + 2x2 + -4 + -2x2

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

Combine like terms: 4 + -4 = 0
-1 + x + -2x2 = 0 + 2x2 + -2x2
-1 + x + -2x2 = 2x2 + -2x2

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

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

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

Move the constant term to the right:

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

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

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

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

The x term is x.  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.
-0.5x + 0.25 + x2 = -0.5 + 0.25

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

Combine like terms: -0.5 + 0.25 = -0.25
0.25 + -0.5x + 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.