3b^2+11=2-12b

Solution for 3b^2+11=2-12b equation:

Simplifying
3b2 + 11 = 2 + -12b

Reorder the terms:
11 + 3b2 = 2 + -12b

Solving
11 + 3b2 = 2 + -12b

Solving for variable 'b'.

Reorder the terms:
11 + -2 + 12b + 3b2 = 2 + -12b + -2 + 12b

Combine like terms: 11 + -2 = 9
9 + 12b + 3b2 = 2 + -12b + -2 + 12b

Reorder the terms:
9 + 12b + 3b2 = 2 + -2 + -12b + 12b

Combine like terms: 2 + -2 = 0
9 + 12b + 3b2 = 0 + -12b + 12b
9 + 12b + 3b2 = -12b + 12b

Combine like terms: -12b + 12b = 0
9 + 12b + 3b2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(3 + 4b + b2) = 0

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

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

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

Simplifying
1 + b = 0

Solving
1 + b = 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 + b = 0 + -1

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

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

Simplifying
b = -1
Solution
b = {-3, -1}