2((3+-1x)(9+-1x))=0

Solution for 2((3+-1x)(9+-1x))=0 equation:

Simplifying
2((3 + -1x)(9 + -1x)) = 0

Multiply (3 + -1x) * (9 + -1x)
2((3(9 + -1x) + -1x * (9 + -1x))) = 0
2(((9 * 3 + -1x * 3) + -1x * (9 + -1x))) = 0
2(((27 + -3x) + -1x * (9 + -1x))) = 0
2((27 + -3x + (9 * -1x + -1x * -1x))) = 0
2((27 + -3x + (-9x + 1x2))) = 0

Combine like terms: -3x + -9x = -12x
2((27 + -12x + 1x2)) = 0
(27 * 2 + -12x * 2 + 1x2 * 2) = 0
(54 + -24x + 2x2) = 0

Solving
54 + -24x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(27 + -12x + x2) = 0

Factor a trinomial.
2((3 + -1x)(9 + -1x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve:

Simplifying
9 + -1x = 0

Solving
9 + -1x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = 0 + -9
-1x = 0 + -9

Combine like terms: 0 + -9 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9
Solution
x = {3, 9}