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Simplifying 64c3 + -56c2 + 88c = 0 Reorder the terms: 88c + -56c2 + 64c3 = 0 Solving 88c + -56c2 + 64c3 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '8c'. 8c(11 + -7c + 8c2) = 0 Ignore the factor 8.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 '(11 + -7c + 8c2)' equal to zero and attempt to solve: Simplifying 11 + -7c + 8c2 = 0 Solving 11 + -7c + 8c2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 1.375 + -0.875c + c2 = 0 Move the constant term to the right: Add '-1.375' to each side of the equation. 1.375 + -0.875c + -1.375 + c2 = 0 + -1.375 Reorder the terms: 1.375 + -1.375 + -0.875c + c2 = 0 + -1.375 Combine like terms: 1.375 + -1.375 = 0.000 0.000 + -0.875c + c2 = 0 + -1.375 -0.875c + c2 = 0 + -1.375 Combine like terms: 0 + -1.375 = -1.375 -0.875c + c2 = -1.375 The c term is -0.875c. Take half its coefficient (-0.4375). Square it (0.19140625) and add it to both sides. Add '0.19140625' to each side of the equation. -0.875c + 0.19140625 + c2 = -1.375 + 0.19140625 Reorder the terms: 0.19140625 + -0.875c + c2 = -1.375 + 0.19140625 Combine like terms: -1.375 + 0.19140625 = -1.18359375 0.19140625 + -0.875c + c2 = -1.18359375 Factor a perfect square on the left side: (c + -0.4375)(c + -0.4375) = -1.18359375 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
c = {0}
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