(4c-3)(5c-5)=0

Solution for (4c-3)(5c-5)=0 equation:

Simplifying
(4c + -3)(5c + -5) = 0

Reorder the terms:
(-3 + 4c)(5c + -5) = 0

Reorder the terms:
(-3 + 4c)(-5 + 5c) = 0

Multiply (-3 + 4c) * (-5 + 5c)
(-3(-5 + 5c) + 4c * (-5 + 5c)) = 0
((-5 * -3 + 5c * -3) + 4c * (-5 + 5c)) = 0
((15 + -15c) + 4c * (-5 + 5c)) = 0
(15 + -15c + (-5 * 4c + 5c * 4c)) = 0
(15 + -15c + (-20c + 20c2)) = 0

Combine like terms: -15c + -20c = -35c
(15 + -35c + 20c2) = 0

Solving
15 + -35c + 20c2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '5'.
5(3 + -7c + 4c2) = 0

Factor a trinomial.
5((3 + -4c)(1 + -1c)) = 0

Ignore the factor 5.
Subproblem 1
Set the factor '(3 + -4c)' equal to zero and attempt to solve:

Simplifying
3 + -4c = 0

Solving
3 + -4c = 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 + -4c = 0 + -3

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

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

Divide each side by '-4'.
c = 0.75

Simplifying
c = 0.75
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 = {0.75, 1}