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Simplifying c5 + -4c4 + 4c3 = 0 Reorder the terms: 4c3 + -4c4 + c5 = 0 Solving 4c3 + -4c4 + c5 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), 'c3'. c3(4 + -4c + c2) = 0 Factor a trinomial. c3((2 + -1c)(2 + -1c)) = 0Subproblem 1
Set the factor 'c3' equal to zero and attempt to solve: Simplifying c3 = 0 Solving c3 = 0 Move all terms containing c to the left, all other terms to the right. Simplifying c3 = 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 '(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 = 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 = {2, 2}
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