B^2-3B=4B-12

Solution for B^2-3B=4B-12 equation:

Simplifying
B2 + -3B = 4B + -12

Reorder the terms:
-3B + B2 = 4B + -12

Reorder the terms:
-3B + B2 = -12 + 4B

Solving
-3B + B2 = -12 + 4B

Solving for variable 'B'.

Reorder the terms:
12 + -3B + -4B + B2 = -12 + 4B + 12 + -4B

Combine like terms: -3B + -4B = -7B
12 + -7B + B2 = -12 + 4B + 12 + -4B

Reorder the terms:
12 + -7B + B2 = -12 + 12 + 4B + -4B

Combine like terms: -12 + 12 = 0
12 + -7B + B2 = 0 + 4B + -4B
12 + -7B + B2 = 4B + -4B

Combine like terms: 4B + -4B = 0
12 + -7B + B2 = 0

Factor a trinomial.
(3 + -1B)(4 + -1B) = 0

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

Simplifying
3 + -1B = 0

Solving
3 + -1B = 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 + -1B = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1B = 0 + -3
-1B = 0 + -3

Combine like terms: 0 + -3 = -3
-1B = -3

Divide each side by '-1'.
B = 3

Simplifying
B = 3
Subproblem 2
Set the factor '(4 + -1B)' equal to zero and attempt to solve:

Simplifying
4 + -1B = 0

Solving
4 + -1B = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1B = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1B = 0 + -4
-1B = 0 + -4

Combine like terms: 0 + -4 = -4
-1B = -4

Divide each side by '-1'.
B = 4

Simplifying
B = 4
Solution
B = {3, 4}