3b^2-12=-16b

Solution for 3b^2-12=-16b equation:

Simplifying
3b2 + -12 = -16b

Reorder the terms:
-12 + 3b2 = -16b

Solving
-12 + 3b2 = -16b

Solving for variable 'b'.

Reorder the terms:
-12 + 16b + 3b2 = -16b + 16b

Combine like terms: -16b + 16b = 0
-12 + 16b + 3b2 = 0

Factor a trinomial.
(-6 + -1b)(2 + -3b) = 0

Subproblem 1
Set the factor '(-6 + -1b)' equal to zero and attempt to solve:

Simplifying
-6 + -1b = 0

Solving
-6 + -1b = 0

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

Add '6' to each side of the equation.
-6 + 6 + -1b = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1b = 0 + 6
-1b = 0 + 6

Combine like terms: 0 + 6 = 6
-1b = 6

Divide each side by '-1'.
b = -6

Simplifying
b = -6
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 = {-6, 0.6666666667}