x+(x+2)(x+4)+(x+6)=-32

Solution for x+(x+2)(x+4)+(x+6)=-32 equation:

Simplifying
x + (x + 2)(x + 4) + (x + 6) = -32

Reorder the terms:
x + (2 + x)(x + 4) + (x + 6) = -32

Reorder the terms:
x + (2 + x)(4 + x) + (x + 6) = -32

Multiply (2 + x) * (4 + x)
x + (2(4 + x) + x(4 + x)) + (x + 6) = -32
x + ((4 * 2 + x * 2) + x(4 + x)) + (x + 6) = -32
x + ((8 + 2x) + x(4 + x)) + (x + 6) = -32
x + (8 + 2x + (4 * x + x * x)) + (x + 6) = -32
x + (8 + 2x + (4x + x2)) + (x + 6) = -32

Combine like terms: 2x + 4x = 6x
x + (8 + 6x + x2) + (x + 6) = -32

Reorder the terms:
x + 8 + 6x + x2 + (6 + x) = -32

Remove parenthesis around (6 + x)
x + 8 + 6x + x2 + 6 + x = -32

Reorder the terms:
8 + 6 + x + 6x + x + x2 = -32

Combine like terms: 8 + 6 = 14
14 + x + 6x + x + x2 = -32

Combine like terms: x + 6x = 7x
14 + 7x + x + x2 = -32

Combine like terms: 7x + x = 8x
14 + 8x + x2 = -32

Solving
14 + 8x + x2 = -32

Solving for variable 'x'.

Reorder the terms:
14 + 32 + 8x + x2 = -32 + 32

Combine like terms: 14 + 32 = 46
46 + 8x + x2 = -32 + 32

Combine like terms: -32 + 32 = 0
46 + 8x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-46' to each side of the equation.
46 + 8x + -46 + x2 = 0 + -46

Reorder the terms:
46 + -46 + 8x + x2 = 0 + -46

Combine like terms: 46 + -46 = 0
0 + 8x + x2 = 0 + -46
8x + x2 = 0 + -46

Combine like terms: 0 + -46 = -46
8x + x2 = -46

The x term is 8x.  Take half its coefficient (4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
8x + 16 + x2 = -46 + 16

Reorder the terms:
16 + 8x + x2 = -46 + 16

Combine like terms: -46 + 16 = -30
16 + 8x + x2 = -30

Factor a perfect square on the left side:
(x + 4)(x + 4) = -30

Can't calculate square root of the right side.

The solution to this equation could not be determined.