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

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


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

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

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

Multiply (-3 + 3c) * (-5 + 4c)
(-3(-5 + 4c) + 3c * (-5 + 4c)) = 0
((-5 * -3 + 4c * -3) + 3c * (-5 + 4c)) = 0
((15 + -12c) + 3c * (-5 + 4c)) = 0
(15 + -12c + (-5 * 3c + 4c * 3c)) = 0
(15 + -12c + (-15c + 12c2)) = 0

Combine like terms: -12c + -15c = -27c
(15 + -27c + 12c2) = 0

Solving
15 + -27c + 12c2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '3'.
3(5 + -9c + 4c2) = 0

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

Ignore the factor 3.

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 '(5 + -4c)' equal to zero and attempt to solve:

Simplifying
5 + -4c = 0

Solving
5 + -4c = 0

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

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

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

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

Divide each side by '-4'.
c = 1.25

Simplifying
c = 1.25
Solution
c = {1, 1.25}

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