42-c-c^2=0

Solution for 42-c-c^2=0 equation:

Simplifying
42 + -1c + -1c2 = 0

Solving
42 + -1c + -1c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(6 + -1c)(7 + c) = 0

Subproblem 1
Set the factor '(6 + -1c)' equal to zero and attempt to solve:

Simplifying
6 + -1c = 0

Solving
6 + -1c = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1c = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1c = 0 + -6
-1c = 0 + -6

Combine like terms: 0 + -6 = -6
-1c = -6

Divide each side by '-1'.
c = 6

Simplifying
c = 6
Subproblem 2
Set the factor '(7 + c)' equal to zero and attempt to solve:

Simplifying
7 + c = 0

Solving
7 + c = 0

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

Add '-7' to each side of the equation.
7 + -7 + c = 0 + -7

Combine like terms: 7 + -7 = 0
0 + c = 0 + -7
c = 0 + -7

Combine like terms: 0 + -7 = -7
c = -7

Simplifying
c = -7
Solution
c = {6, -7}