(3c-2)(4c-4)=0

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Solution for (3c-2)(4c-4)=0 equation: 


Simplifying
(3c + -2)(4c + -4) = 0

Reorder the terms:
(-2 + 3c)(4c + -4) = 0

Reorder the terms:
(-2 + 3c)(-4 + 4c) = 0

Multiply (-2 + 3c) * (-4 + 4c)
(-2(-4 + 4c) + 3c * (-4 + 4c)) = 0
((-4 * -2 + 4c * -2) + 3c * (-4 + 4c)) = 0
((8 + -8c) + 3c * (-4 + 4c)) = 0
(8 + -8c + (-4 * 3c + 4c * 3c)) = 0
(8 + -8c + (-12c + 12c2)) = 0

Combine like terms: -8c + -12c = -20c
(8 + -20c + 12c2) = 0

Solving
8 + -20c + 12c2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '4'.
4(2 + -5c + 3c2) = 0

Factor a trinomial.
4((2 + -3c)(1 + -1c)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(2 + -3c)' equal to zero and attempt to solve:

Simplifying
2 + -3c = 0

Solving
2 + -3c = 0

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

Add '-2' to each side of the equation.
2 + -2 + -3c = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3c = 0 + -2
-3c = 0 + -2

Combine like terms: 0 + -2 = -2
-3c = -2

Divide each side by '-3'.
c = 0.6666666667

Simplifying
c = 0.6666666667

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 = {0.6666666667, 1}

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