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Simplifying 64c5 + 160c4 + 100c3 = 0 Reorder the terms: 100c3 + 160c4 + 64c5 = 0 Solving 100c3 + 160c4 + 64c5 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '4c3'. 4c3(25 + 40c + 16c2) = 0 Factor a trinomial. 4c3((5 + 4c)(5 + 4c)) = 0 Ignore the factor 4.Subproblem 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 '(5 + 4c)' equal to zero and attempt to solve: Simplifying 5 + 4c = 0 Solving 5 + 4c = 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 + 4c = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4c = 0 + -5 4c = 0 + -5 Combine like terms: 0 + -5 = -5 4c = -5 Divide each side by '4'. c = -1.25 Simplifying c = -1.25Subproblem 3
Set the factor '(5 + 4c)' equal to zero and attempt to solve: Simplifying 5 + 4c = 0 Solving 5 + 4c = 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 + 4c = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4c = 0 + -5 4c = 0 + -5 Combine like terms: 0 + -5 = -5 4c = -5 Divide each side by '4'. c = -1.25 Simplifying c = -1.25Solution
c = {-1.25, -1.25}
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