(b+42)(b-48)=0

Solution for (b+42)(b-48)=0 equation:

Simplifying
(b + 42)(b + -48) = 0

Reorder the terms:
(42 + b)(b + -48) = 0

Reorder the terms:
(42 + b)(-48 + b) = 0

Multiply (42 + b) * (-48 + b)
(42(-48 + b) + b(-48 + b)) = 0
((-48 * 42 + b * 42) + b(-48 + b)) = 0
((-2016 + 42b) + b(-48 + b)) = 0
(-2016 + 42b + (-48 * b + b * b)) = 0
(-2016 + 42b + (-48b + b2)) = 0

Combine like terms: 42b + -48b = -6b
(-2016 + -6b + b2) = 0

Solving
-2016 + -6b + b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(-42 + -1b)(48 + -1b) = 0

Subproblem 1
Set the factor '(-42 + -1b)' equal to zero and attempt to solve:

Simplifying
-42 + -1b = 0

Solving
-42 + -1b = 0

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

Add '42' to each side of the equation.
-42 + 42 + -1b = 0 + 42

Combine like terms: -42 + 42 = 0
0 + -1b = 0 + 42
-1b = 0 + 42

Combine like terms: 0 + 42 = 42
-1b = 42

Divide each side by '-1'.
b = -42

Simplifying
b = -42
Subproblem 2
Set the factor '(48 + -1b)' equal to zero and attempt to solve:

Simplifying
48 + -1b = 0

Solving
48 + -1b = 0

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

Add '-48' to each side of the equation.
48 + -48 + -1b = 0 + -48

Combine like terms: 48 + -48 = 0
0 + -1b = 0 + -48
-1b = 0 + -48

Combine like terms: 0 + -48 = -48
-1b = -48

Divide each side by '-1'.
b = 48

Simplifying
b = 48
Solution
b = {-42, 48}