2(3+-1x)(4+-1x)=

Solution for 2(3+-1x)(4+-1x)= equation:

Simplifying
2(3 + -1x)(4 + -1x) = 0

Multiply (3 + -1x) * (4 + -1x)
2(3(4 + -1x) + -1x * (4 + -1x)) = 0
2((4 * 3 + -1x * 3) + -1x * (4 + -1x)) = 0
2((12 + -3x) + -1x * (4 + -1x)) = 0
2(12 + -3x + (4 * -1x + -1x * -1x)) = 0
2(12 + -3x + (-4x + 1x2)) = 0

Combine like terms: -3x + -4x = -7x
2(12 + -7x + 1x2) = 0
(12 * 2 + -7x * 2 + 1x2 * 2) = 0
(24 + -14x + 2x2) = 0

Solving
24 + -14x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(12 + -7x + x2) = 0

Factor a trinomial.
2((3 + -1x)(4 + -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 '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {3, 4}