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Simplifying 3c6 + -6c5 + -45c4 = 0 Reorder the terms: -45c4 + -6c5 + 3c6 = 0 Solving -45c4 + -6c5 + 3c6 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '3c4'. 3c4(-15 + -2c + c2) = 0 Factor a trinomial. 3c4((-3 + -1c)(5 + -1c)) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'c4' equal to zero and attempt to solve: Simplifying c4 = 0 Solving c4 = 0 Move all terms containing c to the left, all other terms to the right. Simplifying c4 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.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 = -3Subproblem 3
Set the factor '(5 + -1c)' equal to zero and attempt to solve: Simplifying 5 + -1c = 0 Solving 5 + -1c = 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 + -1c = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1c = 0 + -5 -1c = 0 + -5 Combine like terms: 0 + -5 = -5 -1c = -5 Divide each side by '-1'. c = 5 Simplifying c = 5Solution
c = {-3, 5}
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