(3c-3)(4c+8)=

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Solution for (3c-3)(4c+8)= equation: 


Simplifying
(3c + -3)(4c + 8) = 0

Reorder the terms:
(-3 + 3c)(4c + 8) = 0

Reorder the terms:
(-3 + 3c)(8 + 4c) = 0

Multiply (-3 + 3c) * (8 + 4c)
(-3(8 + 4c) + 3c * (8 + 4c)) = 0
((8 * -3 + 4c * -3) + 3c * (8 + 4c)) = 0
((-24 + -12c) + 3c * (8 + 4c)) = 0
(-24 + -12c + (8 * 3c + 4c * 3c)) = 0
(-24 + -12c + (24c + 12c2)) = 0

Combine like terms: -12c + 24c = 12c
(-24 + 12c + 12c2) = 0

Solving
-24 + 12c + 12c2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '12'.
12(-2 + c + c2) = 0

Factor a trinomial.
12((-2 + -1c)(1 + -1c)) = 0

Ignore the factor 12.

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

Simplifying
-2 + -1c = 0

Solving
-2 + -1c = 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 + -1c = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1c = 0 + 2
-1c = 0 + 2

Combine like terms: 0 + 2 = 2
-1c = 2

Divide each side by '-1'.
c = -2

Simplifying
c = -2

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 = {-2, 1}

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