2106=(x+30-6)(x-6)(3)

Solution for 2106=(x+30-6)(x-6)(3) equation:

Simplifying
2106 = (x + 30 + -6)(x + -6)(3)

Reorder the terms:
2106 = (30 + -6 + x)(x + -6)(3)

Combine like terms: 30 + -6 = 24
2106 = (24 + x)(x + -6)(3)

Reorder the terms:
2106 = (24 + x)(-6 + x)(3)

Reorder the terms for easier multiplication:
2106 = 3(24 + x)(-6 + x)

Multiply (24 + x) * (-6 + x)
2106 = 3(24(-6 + x) + x(-6 + x))
2106 = 3((-6 * 24 + x * 24) + x(-6 + x))
2106 = 3((-144 + 24x) + x(-6 + x))
2106 = 3(-144 + 24x + (-6 * x + x * x))
2106 = 3(-144 + 24x + (-6x + x2))

Combine like terms: 24x + -6x = 18x
2106 = 3(-144 + 18x + x2)
2106 = (-144 * 3 + 18x * 3 + x2 * 3)
2106 = (-432 + 54x + 3x2)

Solving
2106 = -432 + 54x + 3x2

Solving for variable 'x'.

Combine like terms: 2106 + 432 = 2538
2538 + -54x + -3x2 = -432 + 54x + 3x2 + 432 + -54x + -3x2

Reorder the terms:
2538 + -54x + -3x2 = -432 + 432 + 54x + -54x + 3x2 + -3x2

Combine like terms: -432 + 432 = 0
2538 + -54x + -3x2 = 0 + 54x + -54x + 3x2 + -3x2
2538 + -54x + -3x2 = 54x + -54x + 3x2 + -3x2

Combine like terms: 54x + -54x = 0
2538 + -54x + -3x2 = 0 + 3x2 + -3x2
2538 + -54x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
2538 + -54x + -3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(846 + -18x + -1x2) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(846 + -18x + -1x2)' equal to zero and attempt to solve:

Simplifying
846 + -18x + -1x2 = 0

Solving
846 + -18x + -1x2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
-846 + 18x + x2 = 0

Move the constant term to the right:

Add '846' to each side of the equation.
-846 + 18x + 846 + x2 = 0 + 846

Reorder the terms:
-846 + 846 + 18x + x2 = 0 + 846

Combine like terms: -846 + 846 = 0
0 + 18x + x2 = 0 + 846
18x + x2 = 0 + 846

Combine like terms: 0 + 846 = 846
18x + x2 = 846

The x term is 18x.  Take half its coefficient (9).
Square it (81) and add it to both sides.

Add '81' to each side of the equation.
18x + 81 + x2 = 846 + 81

Reorder the terms:
81 + 18x + x2 = 846 + 81

Combine like terms: 846 + 81 = 927
81 + 18x + x2 = 927

Factor a perfect square on the left side:
(x + 9)(x + 9) = 927

Calculate the square root of the right side: 30.446674695

Break this problem into two subproblems by setting 
(x + 9) equal to 30.446674695 and -30.446674695.

Subproblem 1
x + 9 = 30.446674695

Simplifying
x + 9 = 30.446674695

Reorder the terms:
9 + x = 30.446674695

Solving
9 + x = 30.446674695

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-9' to each side of the equation.
9 + -9 + x = 30.446674695 + -9

Combine like terms: 9 + -9 = 0
0 + x = 30.446674695 + -9
x = 30.446674695 + -9

Combine like terms: 30.446674695 + -9 = 21.446674695
x = 21.446674695

Simplifying
x = 21.446674695

Subproblem 2
x + 9 = -30.446674695

Simplifying
x + 9 = -30.446674695

Reorder the terms:
9 + x = -30.446674695

Solving
9 + x = -30.446674695

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-9' to each side of the equation.
9 + -9 + x = -30.446674695 + -9

Combine like terms: 9 + -9 = 0
0 + x = -30.446674695 + -9
x = -30.446674695 + -9

Combine like terms: -30.446674695 + -9 = -39.446674695
x = -39.446674695

Simplifying
x = -39.446674695

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {21.446674695, -39.446674695}
Solution
x = {21.446674695, -39.446674695}