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

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

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

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

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

Multiply (2 + 3a) * (-2 + a)
(2(-2 + a) + 3a * (-2 + a)) = 0
((-2 * 2 + a * 2) + 3a * (-2 + a)) = 0
((-4 + 2a) + 3a * (-2 + a)) = 0
(-4 + 2a + (-2 * 3a + a * 3a)) = 0
(-4 + 2a + (-6a + 3a2)) = 0

Combine like terms: 2a + -6a = -4a
(-4 + -4a + 3a2) = 0

Solving
-4 + -4a + 3a2 = 0

Solving for variable 'a'.

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

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

Simplifying
-2 + -3a = 0

Solving
-2 + -3a = 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 + -3a = 0 + 2

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

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

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

Simplifying
a = -0.6666666667
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 = {-0.6666666667, 2}