(3q-4)(2q-4)=

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

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

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

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

Multiply (-4 + 3q) * (-4 + 2q)
(-4(-4 + 2q) + 3q * (-4 + 2q)) = 0
((-4 * -4 + 2q * -4) + 3q * (-4 + 2q)) = 0
((16 + -8q) + 3q * (-4 + 2q)) = 0
(16 + -8q + (-4 * 3q + 2q * 3q)) = 0
(16 + -8q + (-12q + 6q2)) = 0

Combine like terms: -8q + -12q = -20q
(16 + -20q + 6q2) = 0

Solving
16 + -20q + 6q2 = 0

Solving for variable 'q'.

Factor out the Greatest Common Factor (GCF), '2'.
2(8 + -10q + 3q2) = 0

Factor a trinomial.
2((4 + -3q)(2 + -1q)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(4 + -3q)' equal to zero and attempt to solve:

Simplifying
4 + -3q = 0

Solving
4 + -3q = 0

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

Add '-4' to each side of the equation.
4 + -4 + -3q = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3q = 0 + -4
-3q = 0 + -4

Combine like terms: 0 + -4 = -4
-3q = -4

Divide each side by '-3'.
q = 1.333333333

Simplifying
q = 1.333333333
Subproblem 2
Set the factor '(2 + -1q)' equal to zero and attempt to solve:

Simplifying
2 + -1q = 0

Solving
2 + -1q = 0

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

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

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

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

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

Simplifying
q = 2
Solution
q = {1.333333333, 2}