(c+7)(c-6)=0

Solution for (c+7)(c-6)=0 equation:

Simplifying
(c + 7)(c + -6) = 0

Reorder the terms:
(7 + c)(c + -6) = 0

Reorder the terms:
(7 + c)(-6 + c) = 0

Multiply (7 + c) * (-6 + c)
(7(-6 + c) + c(-6 + c)) = 0
((-6 * 7 + c * 7) + c(-6 + c)) = 0
((-42 + 7c) + c(-6 + c)) = 0
(-42 + 7c + (-6 * c + c * c)) = 0
(-42 + 7c + (-6c + c2)) = 0

Combine like terms: 7c + -6c = 1c
(-42 + 1c + c2) = 0

Solving
-42 + 1c + c2 = 0

Solving for variable 'c'.

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

Subproblem 1
Set the factor '(-7 + -1c)' equal to zero and attempt to solve:

Simplifying
-7 + -1c = 0

Solving
-7 + -1c = 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 + -1c = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1c = 0 + 7
-1c = 0 + 7

Combine like terms: 0 + 7 = 7
-1c = 7

Divide each side by '-1'.
c = -7

Simplifying
c = -7
Subproblem 2
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
Solution
c = {-7, 6}