2(x-15)*2x=210

Solution for 2(x-15)*2x=210 equation:

Simplifying
2(x + -15) * 2x = 210

Reorder the terms:
2(-15 + x) * 2x = 210

Reorder the terms for easier multiplication:
2 * 2x(-15 + x) = 210

Multiply 2 * 2
4x(-15 + x) = 210
(-15 * 4x + x * 4x) = 210
(-60x + 4x2) = 210

Solving
-60x + 4x2 = 210

Solving for variable 'x'.

Reorder the terms:
-210 + -60x + 4x2 = 210 + -210

Combine like terms: 210 + -210 = 0
-210 + -60x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-105 + -30x + 2x2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-105 + -30x + 2x2)' equal to zero and attempt to solve:

Simplifying
-105 + -30x + 2x2 = 0

Solving
-105 + -30x + 2x2 = 0

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

Divide each side by '2'.
-52.5 + -15x + x2 = 0

Move the constant term to the right:

Add '52.5' to each side of the equation.
-52.5 + -15x + 52.5 + x2 = 0 + 52.5

Reorder the terms:
-52.5 + 52.5 + -15x + x2 = 0 + 52.5

Combine like terms: -52.5 + 52.5 = 0.0
0.0 + -15x + x2 = 0 + 52.5
-15x + x2 = 0 + 52.5

Combine like terms: 0 + 52.5 = 52.5
-15x + x2 = 52.5

The x term is -15x.  Take half its coefficient (-7.5).
Square it (56.25) and add it to both sides.

Add '56.25' to each side of the equation.
-15x + 56.25 + x2 = 52.5 + 56.25

Reorder the terms:
56.25 + -15x + x2 = 52.5 + 56.25

Combine like terms: 52.5 + 56.25 = 108.75
56.25 + -15x + x2 = 108.75

Factor a perfect square on the left side:
(x + -7.5)(x + -7.5) = 108.75

Calculate the square root of the right side: 10.428326807

Break this problem into two subproblems by setting 
(x + -7.5) equal to 10.428326807 and -10.428326807.

Subproblem 1
x + -7.5 = 10.428326807

Simplifying
x + -7.5 = 10.428326807

Reorder the terms:
-7.5 + x = 10.428326807

Solving
-7.5 + x = 10.428326807

Solving for variable 'x'.

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

Add '7.5' to each side of the equation.
-7.5 + 7.5 + x = 10.428326807 + 7.5

Combine like terms: -7.5 + 7.5 = 0.0
0.0 + x = 10.428326807 + 7.5
x = 10.428326807 + 7.5

Combine like terms: 10.428326807 + 7.5 = 17.928326807
x = 17.928326807

Simplifying
x = 17.928326807

Subproblem 2
x + -7.5 = -10.428326807

Simplifying
x + -7.5 = -10.428326807

Reorder the terms:
-7.5 + x = -10.428326807

Solving
-7.5 + x = -10.428326807

Solving for variable 'x'.

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

Add '7.5' to each side of the equation.
-7.5 + 7.5 + x = -10.428326807 + 7.5

Combine like terms: -7.5 + 7.5 = 0.0
0.0 + x = -10.428326807 + 7.5
x = -10.428326807 + 7.5

Combine like terms: -10.428326807 + 7.5 = -2.928326807
x = -2.928326807

Simplifying
x = -2.928326807

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {17.928326807, -2.928326807}
Solution
x = {17.928326807, -2.928326807}