(2x+6)(2x+4)=x

Solution for (2x+6)(2x+4)=x equation:

Simplifying
(2x + 6)(2x + 4) = x

Reorder the terms:
(6 + 2x)(2x + 4) = x

Reorder the terms:
(6 + 2x)(4 + 2x) = x

Multiply (6 + 2x) * (4 + 2x)
(6(4 + 2x) + 2x * (4 + 2x)) = x
((4 * 6 + 2x * 6) + 2x * (4 + 2x)) = x
((24 + 12x) + 2x * (4 + 2x)) = x
(24 + 12x + (4 * 2x + 2x * 2x)) = x
(24 + 12x + (8x + 4x2)) = x

Combine like terms: 12x + 8x = 20x
(24 + 20x + 4x2) = x

Solving
24 + 20x + 4x2 = x

Solving for variable 'x'.

Reorder the terms:
24 + 20x + -1x + 4x2 = x + -1x

Combine like terms: 20x + -1x = 19x
24 + 19x + 4x2 = x + -1x

Combine like terms: x + -1x = 0
24 + 19x + 4x2 = 0

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

Divide each side by '4'.
6 + 4.75x + x2 = 0

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + 4.75x + -6 + x2 = 0 + -6

Reorder the terms:
6 + -6 + 4.75x + x2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 4.75x + x2 = 0 + -6
4.75x + x2 = 0 + -6

Combine like terms: 0 + -6 = -6
4.75x + x2 = -6

The x term is 4.75x.  Take half its coefficient (2.375).
Square it (5.640625) and add it to both sides.

Add '5.640625' to each side of the equation.
4.75x + 5.640625 + x2 = -6 + 5.640625

Reorder the terms:
5.640625 + 4.75x + x2 = -6 + 5.640625

Combine like terms: -6 + 5.640625 = -0.359375
5.640625 + 4.75x + x2 = -0.359375

Factor a perfect square on the left side:
(x + 2.375)(x + 2.375) = -0.359375

Can't calculate square root of the right side.

The solution to this equation could not be determined.