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Simplifying 2c5 + -2c3 + -60c = 0 Reorder the terms: -60c + -2c3 + 2c5 = 0 Solving -60c + -2c3 + 2c5 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '2c'. 2c(-30 + -1c2 + c4) = 0 Factor a trinomial. 2c((-5 + -1c2)(6 + -1c2)) = 0 Ignore the factor 2.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 '(-5 + -1c2)' equal to zero and attempt to solve: Simplifying -5 + -1c2 = 0 Solving -5 + -1c2 = 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 + -1c2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1c2 = 0 + 5 -1c2 = 0 + 5 Combine like terms: 0 + 5 = 5 -1c2 = 5 Divide each side by '-1'. c2 = -5 Simplifying c2 = -5 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(6 + -1c2)' equal to zero and attempt to solve: Simplifying 6 + -1c2 = 0 Solving 6 + -1c2 = 0 Move all terms containing c to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1c2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1c2 = 0 + -6 -1c2 = 0 + -6 Combine like terms: 0 + -6 = -6 -1c2 = -6 Divide each side by '-1'. c2 = 6 Simplifying c2 = 6 Take the square root of each side: c = {-2.449489743, 2.449489743}Solution
c = {0, -2.449489743, 2.449489743}
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