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Simplifying 15c4 + -27c3 + -6c2 = 0 Reorder the terms: -6c2 + -27c3 + 15c4 = 0 Solving -6c2 + -27c3 + 15c4 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '3c2'. 3c2(-2 + -9c + 5c2) = 0 Factor a trinomial. 3c2((-1 + -5c)(2 + -1c)) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'c2' equal to zero and attempt to solve: Simplifying c2 = 0 Solving c2 = 0 Move all terms containing c to the left, all other terms to the right. Simplifying c2 = 0 Take the square root of each side: c = {0}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 = -0.2Subproblem 3
Set the factor '(2 + -1c)' equal to zero and attempt to solve: Simplifying 2 + -1c = 0 Solving 2 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1c = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1c = 0 + -2 -1c = 0 + -2 Combine like terms: 0 + -2 = -2 -1c = -2 Divide each side by '-1'. c = 2 Simplifying c = 2Solution
c = {0, -0.2, 2}
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