(3x-6)(4x-6)=

Solution for (3x-6)(4x-6)= equation:

Simplifying
(3x + -6)(4x + -6) = 0

Reorder the terms:
(-6 + 3x)(4x + -6) = 0

Reorder the terms:
(-6 + 3x)(-6 + 4x) = 0

Multiply (-6 + 3x) * (-6 + 4x)
(-6(-6 + 4x) + 3x * (-6 + 4x)) = 0
((-6 * -6 + 4x * -6) + 3x * (-6 + 4x)) = 0
((36 + -24x) + 3x * (-6 + 4x)) = 0
(36 + -24x + (-6 * 3x + 4x * 3x)) = 0
(36 + -24x + (-18x + 12x2)) = 0

Combine like terms: -24x + -18x = -42x
(36 + -42x + 12x2) = 0

Solving
36 + -42x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(6 + -7x + 2x2) = 0

Factor a trinomial.
6((3 + -2x)(2 + -1x)) = 0

Ignore the factor 6.
Subproblem 1
Set the factor '(3 + -2x)' equal to zero and attempt to solve:

Simplifying
3 + -2x = 0

Solving
3 + -2x = 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 + -2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = 0 + -3
-2x = 0 + -3

Combine like terms: 0 + -3 = -3
-2x = -3

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5
Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

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

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

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

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {1.5, 2}