(2-3c)(6-2c)=

Solution for (2-3c)(6-2c)= equation:

Simplifying
(2 + -3c)(6 + -2c) = 0

Multiply (2 + -3c) * (6 + -2c)
(2(6 + -2c) + -3c * (6 + -2c)) = 0
((6 * 2 + -2c * 2) + -3c * (6 + -2c)) = 0
((12 + -4c) + -3c * (6 + -2c)) = 0
(12 + -4c + (6 * -3c + -2c * -3c)) = 0
(12 + -4c + (-18c + 6c2)) = 0

Combine like terms: -4c + -18c = -22c
(12 + -22c + 6c2) = 0

Solving
12 + -22c + 6c2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '2'.
2(6 + -11c + 3c2) = 0

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

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

Simplifying
2 + -3c = 0

Solving
2 + -3c = 0

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

Add '-2' to each side of the equation.
2 + -2 + -3c = 0 + -2

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

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

Divide each side by '-3'.
c = 0.6666666667

Simplifying
c = 0.6666666667
Subproblem 2
Set the factor '(3 + -1c)' equal to zero and attempt to solve:

Simplifying
3 + -1c = 0

Solving
3 + -1c = 0

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

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

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

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

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

Simplifying
c = 3
Solution
c = {0.6666666667, 3}