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Simplifying -3c5 + 3cp2 = 0 Reorder the terms: 3cp2 + -3c5 = 0 Solving 3cp2 + -3c5 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '3c'. 3c(p2 + -1c4) = 0 Factor a difference between two squares. 3c((p + c2)(p + -1c2)) = 0 Ignore the factor 3.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 '(p + c2)' equal to zero and attempt to solve: Simplifying p + c2 = 0 Reorder the terms: c2 + p = 0 Solving c2 + p = 0 Move all terms containing c to the left, all other terms to the right. Add '-1p' to each side of the equation. c2 + p + -1p = 0 + -1p Combine like terms: p + -1p = 0 c2 + 0 = 0 + -1p c2 = 0 + -1p Remove the zero: c2 = -1p Simplifying c2 = -1p 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 '(p + -1c2)' equal to zero and attempt to solve: Simplifying p + -1c2 = 0 Reorder the terms: -1c2 + p = 0 Solving -1c2 + p = 0 Move all terms containing c to the left, all other terms to the right. Add '-1p' to each side of the equation. -1c2 + p + -1p = 0 + -1p Combine like terms: p + -1p = 0 -1c2 + 0 = 0 + -1p -1c2 = 0 + -1p Remove the zero: -1c2 = -1p Divide each side by '-1'. c2 = p Simplifying c2 = p 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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