(11c+6)(4c-15)=0

Solution for (11c+6)(4c-15)=0 equation:

Simplifying
(11c + 6)(4c + -15) = 0

Reorder the terms:
(6 + 11c)(4c + -15) = 0

Reorder the terms:
(6 + 11c)(-15 + 4c) = 0

Multiply (6 + 11c) * (-15 + 4c)
(6(-15 + 4c) + 11c * (-15 + 4c)) = 0
((-15 * 6 + 4c * 6) + 11c * (-15 + 4c)) = 0
((-90 + 24c) + 11c * (-15 + 4c)) = 0
(-90 + 24c + (-15 * 11c + 4c * 11c)) = 0
(-90 + 24c + (-165c + 44c2)) = 0

Combine like terms: 24c + -165c = -141c
(-90 + -141c + 44c2) = 0

Solving
-90 + -141c + 44c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(-6 + -11c)(15 + -4c) = 0

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 '(15 + -4c)' equal to zero and attempt to solve:

Simplifying
15 + -4c = 0

Solving
15 + -4c = 0

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

Add '-15' to each side of the equation.
15 + -15 + -4c = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -4c = 0 + -15
-4c = 0 + -15

Combine like terms: 0 + -15 = -15
-4c = -15

Divide each side by '-4'.
c = 3.75

Simplifying
c = 3.75
Solution
c = {-0.5454545455, 3.75}