(11c+8)(3c-9)=0

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Solution for (11c+8)(3c-9)=0 equation: 


Simplifying
(11c + 8)(3c + -9) = 0

Reorder the terms:
(8 + 11c)(3c + -9) = 0

Reorder the terms:
(8 + 11c)(-9 + 3c) = 0

Multiply (8 + 11c) * (-9 + 3c)
(8(-9 + 3c) + 11c * (-9 + 3c)) = 0
((-9 * 8 + 3c * 8) + 11c * (-9 + 3c)) = 0
((-72 + 24c) + 11c * (-9 + 3c)) = 0
(-72 + 24c + (-9 * 11c + 3c * 11c)) = 0
(-72 + 24c + (-99c + 33c2)) = 0

Combine like terms: 24c + -99c = -75c
(-72 + -75c + 33c2) = 0

Solving
-72 + -75c + 33c2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-24 + -25c + 11c2) = 0

Factor a trinomial.
3((-8 + -11c)(3 + -1c)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-8 + -11c)' equal to zero and attempt to solve:

Simplifying
-8 + -11c = 0

Solving
-8 + -11c = 0

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

Add '8' to each side of the equation.
-8 + 8 + -11c = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -11c = 0 + 8
-11c = 0 + 8

Combine like terms: 0 + 8 = 8
-11c = 8

Divide each side by '-11'.
c = -0.7272727273

Simplifying
c = -0.7272727273

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 = {-0.7272727273, 3}

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