10-(15-2x)=3(2x-7-2)(9x-x)

Solution for 10-(15-2x)=3(2x-7-2)(9x-x) equation:

Simplifying
10 + -1(15 + -2x) = 3(2x + -7 + -2)(9x + -1x)
10 + (15 * -1 + -2x * -1) = 3(2x + -7 + -2)(9x + -1x)
10 + (-15 + 2x) = 3(2x + -7 + -2)(9x + -1x)

Combine like terms: 10 + -15 = -5
-5 + 2x = 3(2x + -7 + -2)(9x + -1x)

Reorder the terms:
-5 + 2x = 3(-7 + -2 + 2x)(9x + -1x)

Combine like terms: -7 + -2 = -9
-5 + 2x = 3(-9 + 2x)(9x + -1x)

Combine like terms: 9x + -1x = 8x
-5 + 2x = 3(-9 + 2x)(8x)

Remove parenthesis around (8x)
-5 + 2x = 3(-9 + 2x) * 8x

Reorder the terms for easier multiplication:
-5 + 2x = 3 * 8x(-9 + 2x)

Multiply 3 * 8
-5 + 2x = 24x(-9 + 2x)
-5 + 2x = (-9 * 24x + 2x * 24x)
-5 + 2x = (-216x + 48x2)

Solving
-5 + 2x = -216x + 48x2

Solving for variable 'x'.

Combine like terms: 2x + 216x = 218x
-5 + 218x + -48x2 = -216x + 48x2 + 216x + -48x2

Reorder the terms:
-5 + 218x + -48x2 = -216x + 216x + 48x2 + -48x2

Combine like terms: -216x + 216x = 0
-5 + 218x + -48x2 = 0 + 48x2 + -48x2
-5 + 218x + -48x2 = 48x2 + -48x2

Combine like terms: 48x2 + -48x2 = 0
-5 + 218x + -48x2 = 0

Begin completing the square.  Divide all terms by
-48 the coefficient of the squared term: 

Divide each side by '-48'.
0.1041666667 + -4.541666667x + x2 = 0

Move the constant term to the right:

Add '-0.1041666667' to each side of the equation.
0.1041666667 + -4.541666667x + -0.1041666667 + x2 = 0 + -0.1041666667

Reorder the terms:
0.1041666667 + -0.1041666667 + -4.541666667x + x2 = 0 + -0.1041666667

Combine like terms: 0.1041666667 + -0.1041666667 = 0.0000000000
0.0000000000 + -4.541666667x + x2 = 0 + -0.1041666667
-4.541666667x + x2 = 0 + -0.1041666667

Combine like terms: 0 + -0.1041666667 = -0.1041666667
-4.541666667x + x2 = -0.1041666667

The x term is -4.541666667x.  Take half its coefficient (-2.270833334).
Square it (5.156684031) and add it to both sides.

Add '5.156684031' to each side of the equation.
-4.541666667x + 5.156684031 + x2 = -0.1041666667 + 5.156684031

Reorder the terms:
5.156684031 + -4.541666667x + x2 = -0.1041666667 + 5.156684031

Combine like terms: -0.1041666667 + 5.156684031 = 5.0525173643
5.156684031 + -4.541666667x + x2 = 5.0525173643

Factor a perfect square on the left side:
(x + -2.270833334)(x + -2.270833334) = 5.0525173643

Calculate the square root of the right side: 2.247780542

Break this problem into two subproblems by setting 
(x + -2.270833334) equal to 2.247780542 and -2.247780542.

Subproblem 1
x + -2.270833334 = 2.247780542

Simplifying
x + -2.270833334 = 2.247780542

Reorder the terms:
-2.270833334 + x = 2.247780542

Solving
-2.270833334 + x = 2.247780542

Solving for variable 'x'.

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

Add '2.270833334' to each side of the equation.
-2.270833334 + 2.270833334 + x = 2.247780542 + 2.270833334

Combine like terms: -2.270833334 + 2.270833334 = 0.000000000
0.000000000 + x = 2.247780542 + 2.270833334
x = 2.247780542 + 2.270833334

Combine like terms: 2.247780542 + 2.270833334 = 4.518613876
x = 4.518613876

Simplifying
x = 4.518613876

Subproblem 2
x + -2.270833334 = -2.247780542

Simplifying
x + -2.270833334 = -2.247780542

Reorder the terms:
-2.270833334 + x = -2.247780542

Solving
-2.270833334 + x = -2.247780542

Solving for variable 'x'.

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

Add '2.270833334' to each side of the equation.
-2.270833334 + 2.270833334 + x = -2.247780542 + 2.270833334

Combine like terms: -2.270833334 + 2.270833334 = 0.000000000
0.000000000 + x = -2.247780542 + 2.270833334
x = -2.247780542 + 2.270833334

Combine like terms: -2.247780542 + 2.270833334 = 0.023052792
x = 0.023052792

Simplifying
x = 0.023052792

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {4.518613876, 0.023052792}