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

Solution for (4c-3)(5c+5)= 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 = 5c
(-15 + 5c + 20c2) = 0

Solving
-15 + 5c + 20c2 = 0

Solving for variable 'c'.

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

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

Ignore the factor 5.
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 '(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
Solution
c = {-1, 0.75}