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Simplifying 36c3 + 66c2 + -210c = 0 Reorder the terms: -210c + 66c2 + 36c3 = 0 Solving -210c + 66c2 + 36c3 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '6c'. 6c(-35 + 11c + 6c2) = 0 Factor a trinomial. 6c((-7 + -2c)(5 + -3c)) = 0 Ignore the factor 6.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 = 0Subproblem 2
Set the factor '(-7 + -2c)' equal to zero and attempt to solve: Simplifying -7 + -2c = 0 Solving -7 + -2c = 0 Move all terms containing c to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -2c = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -2c = 0 + 7 -2c = 0 + 7 Combine like terms: 0 + 7 = 7 -2c = 7 Divide each side by '-2'. c = -3.5 Simplifying c = -3.5Subproblem 3
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 = 1.666666667Solution
c = {0, -3.5, 1.666666667}
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