2x+(x+1)=2x^2+4

Solution for 2x+(x+1)=2x^2+4 equation:

Simplifying
2x + (x + 1) = 2x2 + 4

Reorder the terms:
2x + (1 + x) = 2x2 + 4

Remove parenthesis around (1 + x)
2x + 1 + x = 2x2 + 4

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

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

Reorder the terms:
1 + 3x = 4 + 2x2

Solving
1 + 3x = 4 + 2x2

Solving for variable 'x'.

Reorder the terms:
1 + -4 + 3x + -2x2 = 4 + 2x2 + -4 + -2x2

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

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

Combine like terms: 4 + -4 = 0
-3 + 3x + -2x2 = 0 + 2x2 + -2x2
-3 + 3x + -2x2 = 2x2 + -2x2

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

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

Divide each side by '-2'.
1.5 + -1.5x + x2 = 0

Move the constant term to the right:

Add '-1.5' to each side of the equation.
1.5 + -1.5x + -1.5 + x2 = 0 + -1.5

Reorder the terms:
1.5 + -1.5 + -1.5x + x2 = 0 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + -1.5x + x2 = 0 + -1.5
-1.5x + x2 = 0 + -1.5

Combine like terms: 0 + -1.5 = -1.5
-1.5x + x2 = -1.5

The x term is -1.5x.  Take half its coefficient (-0.75).
Square it (0.5625) and add it to both sides.

Add '0.5625' to each side of the equation.
-1.5x + 0.5625 + x2 = -1.5 + 0.5625

Reorder the terms:
0.5625 + -1.5x + x2 = -1.5 + 0.5625

Combine like terms: -1.5 + 0.5625 = -0.9375
0.5625 + -1.5x + x2 = -0.9375

Factor a perfect square on the left side:
(x + -0.75)(x + -0.75) = -0.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.