(b+1)(3b-2)=0

Solution for (b+1)(3b-2)=0 equation:

Simplifying
(b + 1)(3b + -2) = 0

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

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

Multiply (1 + b) * (-2 + 3b)
(1(-2 + 3b) + b(-2 + 3b)) = 0
((-2 * 1 + 3b * 1) + b(-2 + 3b)) = 0
((-2 + 3b) + b(-2 + 3b)) = 0
(-2 + 3b + (-2 * b + 3b * b)) = 0
(-2 + 3b + (-2b + 3b2)) = 0

Combine like terms: 3b + -2b = 1b
(-2 + 1b + 3b2) = 0

Solving
-2 + 1b + 3b2 = 0

Solving for variable 'b'.

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

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

Simplifying
-1 + -1b = 0

Solving
-1 + -1b = 0

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

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

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

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

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

Simplifying
b = -1
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 = {-1, 0.6666666667}