(b+14)(b-16)=0

Solution for (b+14)(b-16)=0 equation:

Simplifying
(b + 14)(b + -16) = 0

Reorder the terms:
(14 + b)(b + -16) = 0

Reorder the terms:
(14 + b)(-16 + b) = 0

Multiply (14 + b) * (-16 + b)
(14(-16 + b) + b(-16 + b)) = 0
((-16 * 14 + b * 14) + b(-16 + b)) = 0
((-224 + 14b) + b(-16 + b)) = 0
(-224 + 14b + (-16 * b + b * b)) = 0
(-224 + 14b + (-16b + b2)) = 0

Combine like terms: 14b + -16b = -2b
(-224 + -2b + b2) = 0

Solving
-224 + -2b + b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(-14 + -1b)(16 + -1b) = 0

Subproblem 1
Set the factor '(-14 + -1b)' equal to zero and attempt to solve:

Simplifying
-14 + -1b = 0

Solving
-14 + -1b = 0

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

Add '14' to each side of the equation.
-14 + 14 + -1b = 0 + 14

Combine like terms: -14 + 14 = 0
0 + -1b = 0 + 14
-1b = 0 + 14

Combine like terms: 0 + 14 = 14
-1b = 14

Divide each side by '-1'.
b = -14

Simplifying
b = -14
Subproblem 2
Set the factor '(16 + -1b)' equal to zero and attempt to solve:

Simplifying
16 + -1b = 0

Solving
16 + -1b = 0

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

Add '-16' to each side of the equation.
16 + -16 + -1b = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1b = 0 + -16
-1b = 0 + -16

Combine like terms: 0 + -16 = -16
-1b = -16

Divide each side by '-1'.
b = 16

Simplifying
b = 16
Solution
b = {-14, 16}