3(x-6)(3.5x-6)=

Solution for 3(x-6)(3.5x-6)= equation:

Simplifying
3(x + -6)(3.5x + -6) = 0

Reorder the terms:
3(-6 + x)(3.5x + -6) = 0

Reorder the terms:
3(-6 + x)(-6 + 3.5x) = 0

Multiply (-6 + x) * (-6 + 3.5x)
3(-6(-6 + 3.5x) + x(-6 + 3.5x)) = 0
3((-6 * -6 + 3.5x * -6) + x(-6 + 3.5x)) = 0
3((36 + -21x) + x(-6 + 3.5x)) = 0
3(36 + -21x + (-6 * x + 3.5x * x)) = 0
3(36 + -21x + (-6x + 3.5x2)) = 0

Combine like terms: -21x + -6x = -27x
3(36 + -27x + 3.5x2) = 0
(36 * 3 + -27x * 3 + 3.5x2 * 3) = 0
(108 + -81x + 10.5x2) = 0

Solving
108 + -81x + 10.5x2 = 0

Solving for variable 'x'.

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

Divide each side by '10.5'.
10.28571429 + -7.714285714x + x2 = 0

Move the constant term to the right:

Add '-10.28571429' to each side of the equation.
10.28571429 + -7.714285714x + -10.28571429 + x2 = 0 + -10.28571429

Reorder the terms:
10.28571429 + -10.28571429 + -7.714285714x + x2 = 0 + -10.28571429

Combine like terms: 10.28571429 + -10.28571429 = 0.00000000
0.00000000 + -7.714285714x + x2 = 0 + -10.28571429
-7.714285714x + x2 = 0 + -10.28571429

Combine like terms: 0 + -10.28571429 = -10.28571429
-7.714285714x + x2 = -10.28571429

The x term is -7.714285714x.  Take half its coefficient (-3.857142857).
Square it (14.87755102) and add it to both sides.

Add '14.87755102' to each side of the equation.
-7.714285714x + 14.87755102 + x2 = -10.28571429 + 14.87755102

Reorder the terms:
14.87755102 + -7.714285714x + x2 = -10.28571429 + 14.87755102

Combine like terms: -10.28571429 + 14.87755102 = 4.59183673
14.87755102 + -7.714285714x + x2 = 4.59183673

Factor a perfect square on the left side:
(x + -3.857142857)(x + -3.857142857) = 4.59183673

Calculate the square root of the right side: 2.142857142

Break this problem into two subproblems by setting 
(x + -3.857142857) equal to 2.142857142 and -2.142857142.

Subproblem 1
x + -3.857142857 = 2.142857142

Simplifying
x + -3.857142857 = 2.142857142

Reorder the terms:
-3.857142857 + x = 2.142857142

Solving
-3.857142857 + x = 2.142857142

Solving for variable 'x'.

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

Add '3.857142857' to each side of the equation.
-3.857142857 + 3.857142857 + x = 2.142857142 + 3.857142857

Combine like terms: -3.857142857 + 3.857142857 = 0.000000000
0.000000000 + x = 2.142857142 + 3.857142857
x = 2.142857142 + 3.857142857

Combine like terms: 2.142857142 + 3.857142857 = 5.999999999
x = 5.999999999

Simplifying
x = 5.999999999

Subproblem 2
x + -3.857142857 = -2.142857142

Simplifying
x + -3.857142857 = -2.142857142

Reorder the terms:
-3.857142857 + x = -2.142857142

Solving
-3.857142857 + x = -2.142857142

Solving for variable 'x'.

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

Add '3.857142857' to each side of the equation.
-3.857142857 + 3.857142857 + x = -2.142857142 + 3.857142857

Combine like terms: -3.857142857 + 3.857142857 = 0.000000000
0.000000000 + x = -2.142857142 + 3.857142857
x = -2.142857142 + 3.857142857

Combine like terms: -2.142857142 + 3.857142857 = 1.714285715
x = 1.714285715

Simplifying
x = 1.714285715

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {5.999999999, 1.714285715}