x(2x+2)+(x+2)=4x

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

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

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

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

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

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

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

Solving
2 + 3x + 2x2 = 4x

Solving for variable 'x'.

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

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

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

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

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

Move the constant term to the right:

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

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

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

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

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 = -1 + 0.0625

Reorder the terms:
0.0625 + -0.5x + x2 = -1 + 0.0625

Combine like terms: -1 + 0.0625 = -0.9375
0.0625 + -0.5x + x2 = -0.9375

Factor a perfect square on the left side:
(x + -0.25)(x + -0.25) = -0.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.