B^2-26B+144=0

Solution for B^2-26B+144=0 equation:

Simplifying
B2 + -26B + 144 = 0

Reorder the terms:
144 + -26B + B2 = 0

Solving
144 + -26B + B2 = 0

Solving for variable 'B'.

Factor a trinomial.
(8 + -1B)(18 + -1B) = 0

Subproblem 1
Set the factor '(8 + -1B)' equal to zero and attempt to solve:

Simplifying
8 + -1B = 0

Solving
8 + -1B = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1B = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1B = 0 + -8
-1B = 0 + -8

Combine like terms: 0 + -8 = -8
-1B = -8

Divide each side by '-1'.
B = 8

Simplifying
B = 8
Subproblem 2
Set the factor '(18 + -1B)' equal to zero and attempt to solve:

Simplifying
18 + -1B = 0

Solving
18 + -1B = 0

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

Add '-18' to each side of the equation.
18 + -18 + -1B = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -1B = 0 + -18
-1B = 0 + -18

Combine like terms: 0 + -18 = -18
-1B = -18

Divide each side by '-1'.
B = 18

Simplifying
B = 18
Solution
B = {8, 18}