1B^2+12B-24=10B

Solution for 1B^2+12B-24=10B equation:

Simplifying
1B2 + 12B + -24 = 10B

Reorder the terms:
-24 + 12B + 1B2 = 10B

Solving
-24 + 12B + 1B2 = 10B

Solving for variable 'B'.

Reorder the terms:
-24 + 12B + -10B + 1B2 = 10B + -10B

Combine like terms: 12B + -10B = 2B
-24 + 2B + 1B2 = 10B + -10B

Combine like terms: 10B + -10B = 0
-24 + 2B + 1B2 = 0

Factor a trinomial.
(-6 + -1B)(4 + -1B) = 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 '(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 = {-6, 4}