(c-9)(c-6)=

Solution for (c-9)(c-6)= 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 = -15c
(54 + -15c + c2) = 0

Solving
54 + -15c + c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(6 + -1c)(9 + -1c) = 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 '(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
Solution
c = {6, 9}