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Simplifying 5c4 + 10c2 + 5 = 0 Reorder the terms: 5 + 10c2 + 5c4 = 0 Solving 5 + 10c2 + 5c4 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '5'. 5(1 + 2c2 + c4) = 0 Factor a trinomial. 5((1 + c2)(1 + c2)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(1 + c2)' equal to zero and attempt to solve: Simplifying 1 + c2 = 0 Solving 1 + c2 = 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 + c2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + c2 = 0 + -1 c2 = 0 + -1 Combine like terms: 0 + -1 = -1 c2 = -1 Simplifying c2 = -1 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 '(1 + c2)' equal to zero and attempt to solve: Simplifying 1 + c2 = 0 Solving 1 + c2 = 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 + c2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + c2 = 0 + -1 c2 = 0 + -1 Combine like terms: 0 + -1 = -1 c2 = -1 Simplifying c2 = -1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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