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

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

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

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

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

Multiply (42 + s) * (-48 + s)
(42(-48 + s) + s(-48 + s)) = 0
((-48 * 42 + s * 42) + s(-48 + s)) = 0
((-2016 + 42s) + s(-48 + s)) = 0
(-2016 + 42s + (-48 * s + s * s)) = 0
(-2016 + 42s + (-48s + s2)) = 0

Combine like terms: 42s + -48s = -6s
(-2016 + -6s + s2) = 0

Solving
-2016 + -6s + s2 = 0

Solving for variable 's'.

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

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

Simplifying
-42 + -1s = 0

Solving
-42 + -1s = 0

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

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

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

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

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

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

Simplifying
48 + -1s = 0

Solving
48 + -1s = 0

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

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

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

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

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

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