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

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

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

Reorder the terms:
(-3 + 3x)(4x + -2) = 0

Reorder the terms:
(-3 + 3x)(-2 + 4x) = 0

Multiply (-3 + 3x) * (-2 + 4x)
(-3(-2 + 4x) + 3x * (-2 + 4x)) = 0
((-2 * -3 + 4x * -3) + 3x * (-2 + 4x)) = 0
((6 + -12x) + 3x * (-2 + 4x)) = 0
(6 + -12x + (-2 * 3x + 4x * 3x)) = 0
(6 + -12x + (-6x + 12x2)) = 0

Combine like terms: -12x + -6x = -18x
(6 + -18x + 12x2) = 0

Solving
6 + -18x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(1 + -3x + 2x2) = 0

Factor a trinomial.
6((1 + -2x)(1 + -1x)) = 0

Ignore the factor 6.
Subproblem 1
Set the factor '(1 + -2x)' equal to zero and attempt to solve:

Simplifying
1 + -2x = 0

Solving
1 + -2x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2x = 0 + -1
-2x = 0 + -1

Combine like terms: 0 + -1 = -1
-2x = -1

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5
Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

Simplifying
x = 1
Solution
x = {0.5, 1}