(b+2)x(b-3)=

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

Simplifying
(b + 2) * x(b + -3) = 0

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

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

Reorder the terms for easier multiplication:
x(2 + b)(-3 + b) = 0

Multiply (2 + b) * (-3 + b)
x(2(-3 + b) + b(-3 + b)) = 0
x((-3 * 2 + b * 2) + b(-3 + b)) = 0
x((-6 + 2b) + b(-3 + b)) = 0
x(-6 + 2b + (-3 * b + b * b)) = 0
x(-6 + 2b + (-3b + b2)) = 0

Combine like terms: 2b + -3b = -1b
x(-6 + -1b + b2) = 0
(-6 * x + -1b * x + b2 * x) = 0

Reorder the terms:
(-1bx + b2x + -6x) = 0
(-1bx + b2x + -6x) = 0

Solving
-1bx + b2x + -6x = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1b + b2 + -6) = 0

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

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Add '-1x' to each side of the equation.
x + -1x = 0 + -1x
Remove the zero:
0 = -1x

Simplifying
0 = -1x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(b + -3)' equal to zero and attempt to solve:

Simplifying
b + -3 = 0

Reorder the terms:
-3 + b = 0

Solving
-3 + b = 0

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

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

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

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

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

Simplifying
b + 2 = 0

Reorder the terms:
2 + b = 0

Solving
2 + b = 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 + b = 0 + -2

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

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

Simplifying
b = -2
Solution
b = {3, -2}