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

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

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

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

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

Multiply (42 + c) * (-48 + c)
(42(-48 + c) + c(-48 + c)) = 0
((-48 * 42 + c * 42) + c(-48 + c)) = 0
((-2016 + 42c) + c(-48 + c)) = 0
(-2016 + 42c + (-48 * c + c * c)) = 0
(-2016 + 42c + (-48c + c2)) = 0

Combine like terms: 42c + -48c = -6c
(-2016 + -6c + c2) = 0

Solving
-2016 + -6c + c2 = 0

Solving for variable 'c'.

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

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

Simplifying
-42 + -1c = 0

Solving
-42 + -1c = 0

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

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

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

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

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

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

Simplifying
48 + -1c = 0

Solving
48 + -1c = 0

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

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

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

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

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

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