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

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

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

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

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

Multiply (-4 + 5c) * (6 + 6c)
(-4(6 + 6c) + 5c * (6 + 6c)) = 0
((6 * -4 + 6c * -4) + 5c * (6 + 6c)) = 0
((-24 + -24c) + 5c * (6 + 6c)) = 0
(-24 + -24c + (6 * 5c + 6c * 5c)) = 0
(-24 + -24c + (30c + 30c2)) = 0

Combine like terms: -24c + 30c = 6c
(-24 + 6c + 30c2) = 0

Solving
-24 + 6c + 30c2 = 0

Solving for variable 'c'.

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

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

Ignore the factor 6.
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 '(4 + -5c)' equal to zero and attempt to solve:

Simplifying
4 + -5c = 0

Solving
4 + -5c = 0

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

Add '-4' to each side of the equation.
4 + -4 + -5c = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -5c = 0 + -4
-5c = 0 + -4

Combine like terms: 0 + -4 = -4
-5c = -4

Divide each side by '-5'.
c = 0.8

Simplifying
c = 0.8
Solution
c = {-1, 0.8}