960=2(x-2)(x+6)

Solution for 960=2(x-2)(x+6) equation:

Simplifying
960 = 2(x + -2)(x + 6)

Reorder the terms:
960 = 2(-2 + x)(x + 6)

Reorder the terms:
960 = 2(-2 + x)(6 + x)

Multiply (-2 + x) * (6 + x)
960 = 2(-2(6 + x) + x(6 + x))
960 = 2((6 * -2 + x * -2) + x(6 + x))
960 = 2((-12 + -2x) + x(6 + x))
960 = 2(-12 + -2x + (6 * x + x * x))
960 = 2(-12 + -2x + (6x + x2))

Combine like terms: -2x + 6x = 4x
960 = 2(-12 + 4x + x2)
960 = (-12 * 2 + 4x * 2 + x2 * 2)
960 = (-24 + 8x + 2x2)

Solving
960 = -24 + 8x + 2x2

Solving for variable 'x'.

Combine like terms: 960 + 24 = 984
984 + -8x + -2x2 = -24 + 8x + 2x2 + 24 + -8x + -2x2

Reorder the terms:
984 + -8x + -2x2 = -24 + 24 + 8x + -8x + 2x2 + -2x2

Combine like terms: -24 + 24 = 0
984 + -8x + -2x2 = 0 + 8x + -8x + 2x2 + -2x2
984 + -8x + -2x2 = 8x + -8x + 2x2 + -2x2

Combine like terms: 8x + -8x = 0
984 + -8x + -2x2 = 0 + 2x2 + -2x2
984 + -8x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
984 + -8x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(492 + -4x + -1x2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(492 + -4x + -1x2)' equal to zero and attempt to solve:

Simplifying
492 + -4x + -1x2 = 0

Solving
492 + -4x + -1x2 = 0

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

Divide each side by '-1'.
-492 + 4x + x2 = 0

Move the constant term to the right:

Add '492' to each side of the equation.
-492 + 4x + 492 + x2 = 0 + 492

Reorder the terms:
-492 + 492 + 4x + x2 = 0 + 492

Combine like terms: -492 + 492 = 0
0 + 4x + x2 = 0 + 492
4x + x2 = 0 + 492

Combine like terms: 0 + 492 = 492
4x + x2 = 492

The x term is 4x.  Take half its coefficient (2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
4x + 4 + x2 = 492 + 4

Reorder the terms:
4 + 4x + x2 = 492 + 4

Combine like terms: 492 + 4 = 496
4 + 4x + x2 = 496

Factor a perfect square on the left side:
(x + 2)(x + 2) = 496

Calculate the square root of the right side: 22.271057451

Break this problem into two subproblems by setting 
(x + 2) equal to 22.271057451 and -22.271057451.

Subproblem 1
x + 2 = 22.271057451

Simplifying
x + 2 = 22.271057451

Reorder the terms:
2 + x = 22.271057451

Solving
2 + x = 22.271057451

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + x = 22.271057451 + -2

Combine like terms: 2 + -2 = 0
0 + x = 22.271057451 + -2
x = 22.271057451 + -2

Combine like terms: 22.271057451 + -2 = 20.271057451
x = 20.271057451

Simplifying
x = 20.271057451

Subproblem 2
x + 2 = -22.271057451

Simplifying
x + 2 = -22.271057451

Reorder the terms:
2 + x = -22.271057451

Solving
2 + x = -22.271057451

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + x = -22.271057451 + -2

Combine like terms: 2 + -2 = 0
0 + x = -22.271057451 + -2
x = -22.271057451 + -2

Combine like terms: -22.271057451 + -2 = -24.271057451
x = -24.271057451

Simplifying
x = -24.271057451

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {20.271057451, -24.271057451}
Solution
x = {20.271057451, -24.271057451}