(11c+6)(5c-15)=0

Solution for (11c+6)(5c-15)=0 equation:

Simplifying
(11c + 6)(5c + -15) = 0

Reorder the terms:
(6 + 11c)(5c + -15) = 0

Reorder the terms:
(6 + 11c)(-15 + 5c) = 0

Multiply (6 + 11c) * (-15 + 5c)
(6(-15 + 5c) + 11c * (-15 + 5c)) = 0
((-15 * 6 + 5c * 6) + 11c * (-15 + 5c)) = 0
((-90 + 30c) + 11c * (-15 + 5c)) = 0
(-90 + 30c + (-15 * 11c + 5c * 11c)) = 0
(-90 + 30c + (-165c + 55c2)) = 0

Combine like terms: 30c + -165c = -135c
(-90 + -135c + 55c2) = 0

Solving
-90 + -135c + 55c2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-18 + -27c + 11c2) = 0

Factor a trinomial.
5((-6 + -11c)(3 + -1c)) = 0

Ignore the factor 5.
Subproblem 1
Set the factor '(-6 + -11c)' equal to zero and attempt to solve:

Simplifying
-6 + -11c = 0

Solving
-6 + -11c = 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 + -11c = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -11c = 0 + 6
-11c = 0 + 6

Combine like terms: 0 + 6 = 6
-11c = 6

Divide each side by '-11'.
c = -0.5454545455

Simplifying
c = -0.5454545455
Subproblem 2
Set the factor '(3 + -1c)' equal to zero and attempt to solve:

Simplifying
3 + -1c = 0

Solving
3 + -1c = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1c = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1c = 0 + -3
-1c = 0 + -3

Combine like terms: 0 + -3 = -3
-1c = -3

Divide each side by '-1'.
c = 3

Simplifying
c = 3
Solution
c = {-0.5454545455, 3}