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Simplifying c4 + 12c2p2 + 36p4 = 0 Reorder the terms: 12c2p2 + c4 + 36p4 = 0 Solving 12c2p2 + c4 + 36p4 = 0 Solving for variable 'c'. Factor a trinomial. (c2 + 6p2)(c2 + 6p2) = 0Subproblem 1
Set the factor '(c2 + 6p2)' equal to zero and attempt to solve: Simplifying c2 + 6p2 = 0 Solving c2 + 6p2 = 0 Move all terms containing c to the left, all other terms to the right. Add '-6p2' to each side of the equation. c2 + 6p2 + -6p2 = 0 + -6p2 Combine like terms: 6p2 + -6p2 = 0 c2 + 0 = 0 + -6p2 c2 = 0 + -6p2 Remove the zero: c2 = -6p2 Simplifying c2 = -6p2 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 '(c2 + 6p2)' equal to zero and attempt to solve: Simplifying c2 + 6p2 = 0 Solving c2 + 6p2 = 0 Move all terms containing c to the left, all other terms to the right. Add '-6p2' to each side of the equation. c2 + 6p2 + -6p2 = 0 + -6p2 Combine like terms: 6p2 + -6p2 = 0 c2 + 0 = 0 + -6p2 c2 = 0 + -6p2 Remove the zero: c2 = -6p2 Simplifying c2 = -6p2 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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