60c^2+33c-9=

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Solution for 60c^2+33c-9= equation:


Simplifying
60c2 + 33c + -9 = 0

Reorder the terms:
-9 + 33c + 60c2 = 0

Solving
-9 + 33c + 60c2 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-3 + 11c + 20c2) = 0

Factor a trinomial.
3((-3 + -4c)(1 + -5c)) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-3 + -4c)' equal to zero and attempt to solve: Simplifying -3 + -4c = 0 Solving -3 + -4c = 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 + -4c = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -4c = 0 + 3 -4c = 0 + 3 Combine like terms: 0 + 3 = 3 -4c = 3 Divide each side by '-4'. c = -0.75 Simplifying c = -0.75

Subproblem 2

Set the factor '(1 + -5c)' equal to zero and attempt to solve: Simplifying 1 + -5c = 0 Solving 1 + -5c = 0 Move all terms containing c to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -5c = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5c = 0 + -1 -5c = 0 + -1 Combine like terms: 0 + -1 = -1 -5c = -1 Divide each side by '-5'. c = 0.2 Simplifying c = 0.2

Solution

c = {-0.75, 0.2}

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