(c+9)(c-6)=0

Solution for (c+9)(c-6)=0 equation:

Simplifying
(c + 9)(c + -6) = 0

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

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

Multiply (9 + c) * (-6 + c)
(9(-6 + c) + c(-6 + c)) = 0
((-6 * 9 + c * 9) + c(-6 + c)) = 0
((-54 + 9c) + c(-6 + c)) = 0
(-54 + 9c + (-6 * c + c * c)) = 0
(-54 + 9c + (-6c + c2)) = 0

Combine like terms: 9c + -6c = 3c
(-54 + 3c + c2) = 0

Solving
-54 + 3c + c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(-9 + -1c)(6 + -1c) = 0

Subproblem 1
Set the factor '(-9 + -1c)' equal to zero and attempt to solve:

Simplifying
-9 + -1c = 0

Solving
-9 + -1c = 0

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

Add '9' to each side of the equation.
-9 + 9 + -1c = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1c = 0 + 9
-1c = 0 + 9

Combine like terms: 0 + 9 = 9
-1c = 9

Divide each side by '-1'.
c = -9

Simplifying
c = -9
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 = {-9, 6}