(c+4)(c-6)=

Solution for (c+4)(c-6)= equation:

Simplifying
(c + 4)(c + -6) = 0

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

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

Multiply (4 + c) * (-6 + c)
(4(-6 + c) + c(-6 + c)) = 0
((-6 * 4 + c * 4) + c(-6 + c)) = 0
((-24 + 4c) + c(-6 + c)) = 0
(-24 + 4c + (-6 * c + c * c)) = 0
(-24 + 4c + (-6c + c2)) = 0

Combine like terms: 4c + -6c = -2c
(-24 + -2c + c2) = 0

Solving
-24 + -2c + c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(-4 + -1c)(6 + -1c) = 0

Subproblem 1
Set the factor '(-4 + -1c)' equal to zero and attempt to solve:

Simplifying
-4 + -1c = 0

Solving
-4 + -1c = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1c = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1c = 0 + 4
-1c = 0 + 4

Combine like terms: 0 + 4 = 4
-1c = 4

Divide each side by '-1'.
c = -4

Simplifying
c = -4
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 = {-4, 6}