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

Solution for (3c+3)(3c-2)= equation:

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

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

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

Multiply (3 + 3c) * (-2 + 3c)
(3(-2 + 3c) + 3c * (-2 + 3c)) = 0
((-2 * 3 + 3c * 3) + 3c * (-2 + 3c)) = 0
((-6 + 9c) + 3c * (-2 + 3c)) = 0
(-6 + 9c + (-2 * 3c + 3c * 3c)) = 0
(-6 + 9c + (-6c + 9c2)) = 0

Combine like terms: 9c + -6c = 3c
(-6 + 3c + 9c2) = 0

Solving
-6 + 3c + 9c2 = 0

Solving for variable 'c'.

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

Factor a trinomial.
3((-1 + -1c)(2 + -3c)) = 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 '(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}