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

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Solution for (3c-2)(4c+4)= 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 = 4c
(-8 + 4c + 12c2) = 0

Solving
-8 + 4c + 12c2 = 0

Solving for variable 'c'.

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

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

Ignore the factor 4.

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 '(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
Solution
c = {-1, 0.6666666667}

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