(3b+2)(3b+2)=0

Solution for (3b+2)(3b+2)=0 equation:

Simplifying
(3b + 2)(3b + 2) = 0

Reorder the terms:
(2 + 3b)(3b + 2) = 0

Reorder the terms:
(2 + 3b)(2 + 3b) = 0

Multiply (2 + 3b) * (2 + 3b)
(2(2 + 3b) + 3b * (2 + 3b)) = 0
((2 * 2 + 3b * 2) + 3b * (2 + 3b)) = 0
((4 + 6b) + 3b * (2 + 3b)) = 0
(4 + 6b + (2 * 3b + 3b * 3b)) = 0
(4 + 6b + (6b + 9b2)) = 0

Combine like terms: 6b + 6b = 12b
(4 + 12b + 9b2) = 0

Solving
4 + 12b + 9b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(2 + 3b)(2 + 3b) = 0

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

Simplifying
2 + 3b = 0

Solving
2 + 3b = 0

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

Add '-2' to each side of the equation.
2 + -2 + 3b = 0 + -2

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

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

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

Simplifying
b = -0.6666666667
Subproblem 2
Set the factor '(2 + 3b)' equal to zero and attempt to solve:

Simplifying
2 + 3b = 0

Solving
2 + 3b = 0

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

Add '-2' to each side of the equation.
2 + -2 + 3b = 0 + -2

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

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

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

Simplifying
b = -0.6666666667
Solution
b = {-0.6666666667, -0.6666666667}