9c(3c+5)(4c-11)=0

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Solution for 9c(3c+5)(4c-11)=0 equation: 


Simplifying
9c(3c + 5)(4c + -11) = 0

Reorder the terms:
9c(5 + 3c)(4c + -11) = 0

Reorder the terms:
9c(5 + 3c)(-11 + 4c) = 0

Multiply (5 + 3c) * (-11 + 4c)
9c(5(-11 + 4c) + 3c * (-11 + 4c)) = 0
9c((-11 * 5 + 4c * 5) + 3c * (-11 + 4c)) = 0
9c((-55 + 20c) + 3c * (-11 + 4c)) = 0
9c(-55 + 20c + (-11 * 3c + 4c * 3c)) = 0
9c(-55 + 20c + (-33c + 12c2)) = 0

Combine like terms: 20c + -33c = -13c
9c(-55 + -13c + 12c2) = 0
(-55 * 9c + -13c * 9c + 12c2 * 9c) = 0
(-495c + -117c2 + 108c3) = 0

Solving
-495c + -117c2 + 108c3 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '9c'.
9c(-55 + -13c + 12c2) = 0

Factor a trinomial.
9c((-5 + -3c)(11 + -4c)) = 0

Ignore the factor 9.

Subproblem 1
Set the factor 'c' equal to zero and attempt to solve:

Simplifying
c = 0

Solving
c = 0

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

Simplifying
c = 0

Subproblem 2
Set the factor '(-5 + -3c)' equal to zero and attempt to solve:

Simplifying
-5 + -3c = 0

Solving
-5 + -3c = 0

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

Add '5' to each side of the equation.
-5 + 5 + -3c = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -3c = 0 + 5
-3c = 0 + 5

Combine like terms: 0 + 5 = 5
-3c = 5

Divide each side by '-3'.
c = -1.666666667

Simplifying
c = -1.666666667

Subproblem 3
Set the factor '(11 + -4c)' equal to zero and attempt to solve:

Simplifying
11 + -4c = 0

Solving
11 + -4c = 0

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

Add '-11' to each side of the equation.
11 + -11 + -4c = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -4c = 0 + -11
-4c = 0 + -11

Combine like terms: 0 + -11 = -11
-4c = -11

Divide each side by '-4'.
c = 2.75

Simplifying
c = 2.75
Solution
c = {0, -1.666666667, 2.75}

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