(3a+3)(a-2)=

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

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

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

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

Multiply (3 + 3a) * (-2 + a)
(3(-2 + a) + 3a * (-2 + a)) = 0
((-2 * 3 + a * 3) + 3a * (-2 + a)) = 0
((-6 + 3a) + 3a * (-2 + a)) = 0
(-6 + 3a + (-2 * 3a + a * 3a)) = 0
(-6 + 3a + (-6a + 3a2)) = 0

Combine like terms: 3a + -6a = -3a
(-6 + -3a + 3a2) = 0

Solving
-6 + -3a + 3a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-2 + -1a + a2) = 0

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

Ignore the factor 3.
Subproblem 1
Set the factor '(-1 + -1a)' equal to zero and attempt to solve:

Simplifying
-1 + -1a = 0

Solving
-1 + -1a = 0

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

Add '1' to each side of the equation.
-1 + 1 + -1a = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -1a = 0 + 1
-1a = 0 + 1

Combine like terms: 0 + 1 = 1
-1a = 1

Divide each side by '-1'.
a = -1

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

Simplifying
2 + -1a = 0

Solving
2 + -1a = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1a = 0 + -2

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

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

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

Simplifying
a = 2
Solution
a = {-1, 2}