(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 = 4c
(-24 + 4c + 20c2) = 0

Solving
-24 + 4c + 20c2 = 0

Solving for variable 'c'.

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

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

Ignore the factor 4.
Subproblem 1
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
Subproblem 2
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
Solution
c = {-1.2, 1}