(4c-4)(5c-6)=

Solution for (4c-4)(5c-6)= equation:

Simplifying
(4c + -4)(5c + -6) = 0

Reorder the terms:
(-4 + 4c)(5c + -6) = 0

Reorder the terms:
(-4 + 4c)(-6 + 5c) = 0

Multiply (-4 + 4c) * (-6 + 5c)
(-4(-6 + 5c) + 4c * (-6 + 5c)) = 0
((-6 * -4 + 5c * -4) + 4c * (-6 + 5c)) = 0
((24 + -20c) + 4c * (-6 + 5c)) = 0
(24 + -20c + (-6 * 4c + 5c * 4c)) = 0
(24 + -20c + (-24c + 20c2)) = 0

Combine like terms: -20c + -24c = -44c
(24 + -44c + 20c2) = 0

Solving
24 + -44c + 20c2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '4'.
4(6 + -11c + 5c2) = 0

Factor a trinomial.
4((1 + -1c)(6 + -5c)) = 0

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

Simplifying
1 + -1c = 0

Solving
1 + -1c = 0

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

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

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

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

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

Simplifying
c = 1
Subproblem 2
Set the factor '(6 + -5c)' equal to zero and attempt to solve:

Simplifying
6 + -5c = 0

Solving
6 + -5c = 0

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

Add '-6' to each side of the equation.
6 + -6 + -5c = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -5c = 0 + -6
-5c = 0 + -6

Combine like terms: 0 + -6 = -6
-5c = -6

Divide each side by '-5'.
c = 1.2

Simplifying
c = 1.2
Solution
c = {1, 1.2}