x=3*(x-6)*(x-10)

Solution for x=3*(x-6)*(x-10) equation:

Simplifying
x = 3(x + -6)(x + -10)

Reorder the terms:
x = 3(-6 + x)(x + -10)

Reorder the terms:
x = 3(-6 + x)(-10 + x)

Multiply (-6 + x) * (-10 + x)
x = 3(-6(-10 + x) + x(-10 + x))
x = 3((-10 * -6 + x * -6) + x(-10 + x))
x = 3((60 + -6x) + x(-10 + x))
x = 3(60 + -6x + (-10 * x + x * x))
x = 3(60 + -6x + (-10x + x2))

Combine like terms: -6x + -10x = -16x
x = 3(60 + -16x + x2)
x = (60 * 3 + -16x * 3 + x2 * 3)
x = (180 + -48x + 3x2)

Solving
x = 180 + -48x + 3x2

Solving for variable 'x'.

Reorder the terms:
-180 + x + 48x + -3x2 = 180 + -48x + 3x2 + -180 + 48x + -3x2

Combine like terms: x + 48x = 49x
-180 + 49x + -3x2 = 180 + -48x + 3x2 + -180 + 48x + -3x2

Reorder the terms:
-180 + 49x + -3x2 = 180 + -180 + -48x + 48x + 3x2 + -3x2

Combine like terms: 180 + -180 = 0
-180 + 49x + -3x2 = 0 + -48x + 48x + 3x2 + -3x2
-180 + 49x + -3x2 = -48x + 48x + 3x2 + -3x2

Combine like terms: -48x + 48x = 0
-180 + 49x + -3x2 = 0 + 3x2 + -3x2
-180 + 49x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-180 + 49x + -3x2 = 0

Begin completing the square.  Divide all terms by
-3 the coefficient of the squared term: 

Divide each side by '-3'.
60 + -16.33333333x + x2 = 0

Move the constant term to the right:

Add '-60' to each side of the equation.
60 + -16.33333333x + -60 + x2 = 0 + -60

Reorder the terms:
60 + -60 + -16.33333333x + x2 = 0 + -60

Combine like terms: 60 + -60 = 0
0 + -16.33333333x + x2 = 0 + -60
-16.33333333x + x2 = 0 + -60

Combine like terms: 0 + -60 = -60
-16.33333333x + x2 = -60

The x term is -16.33333333x.  Take half its coefficient (-8.166666665).
Square it (66.69444442) and add it to both sides.

Add '66.69444442' to each side of the equation.
-16.33333333x + 66.69444442 + x2 = -60 + 66.69444442

Reorder the terms:
66.69444442 + -16.33333333x + x2 = -60 + 66.69444442

Combine like terms: -60 + 66.69444442 = 6.69444442
66.69444442 + -16.33333333x + x2 = 6.69444442

Factor a perfect square on the left side:
(x + -8.166666665)(x + -8.166666665) = 6.69444442

Calculate the square root of the right side: 2.587362445

Break this problem into two subproblems by setting 
(x + -8.166666665) equal to 2.587362445 and -2.587362445.

Subproblem 1
x + -8.166666665 = 2.587362445

Simplifying
x + -8.166666665 = 2.587362445

Reorder the terms:
-8.166666665 + x = 2.587362445

Solving
-8.166666665 + x = 2.587362445

Solving for variable 'x'.

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

Add '8.166666665' to each side of the equation.
-8.166666665 + 8.166666665 + x = 2.587362445 + 8.166666665

Combine like terms: -8.166666665 + 8.166666665 = 0.000000000
0.000000000 + x = 2.587362445 + 8.166666665
x = 2.587362445 + 8.166666665

Combine like terms: 2.587362445 + 8.166666665 = 10.75402911
x = 10.75402911

Simplifying
x = 10.75402911

Subproblem 2
x + -8.166666665 = -2.587362445

Simplifying
x + -8.166666665 = -2.587362445

Reorder the terms:
-8.166666665 + x = -2.587362445

Solving
-8.166666665 + x = -2.587362445

Solving for variable 'x'.

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

Add '8.166666665' to each side of the equation.
-8.166666665 + 8.166666665 + x = -2.587362445 + 8.166666665

Combine like terms: -8.166666665 + 8.166666665 = 0.000000000
0.000000000 + x = -2.587362445 + 8.166666665
x = -2.587362445 + 8.166666665

Combine like terms: -2.587362445 + 8.166666665 = 5.57930422
x = 5.57930422

Simplifying
x = 5.57930422

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {10.75402911, 5.57930422}