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Simplifying c2 + 6cp + -16p2 = 0 Reorder the terms: 6cp + c2 + -16p2 = 0 Solving 6cp + c2 + -16p2 = 0 Solving for variable 'c'. Factor a trinomial. (c + -2p)(c + 8p) = 0Subproblem 1
Set the factor '(c + -2p)' equal to zero and attempt to solve: Simplifying c + -2p = 0 Solving c + -2p = 0 Move all terms containing c to the left, all other terms to the right. Add '2p' to each side of the equation. c + -2p + 2p = 0 + 2p Combine like terms: -2p + 2p = 0 c + 0 = 0 + 2p c = 0 + 2p Remove the zero: c = 2p Simplifying c = 2pSubproblem 2
Set the factor '(c + 8p)' equal to zero and attempt to solve: Simplifying c + 8p = 0 Solving c + 8p = 0 Move all terms containing c to the left, all other terms to the right. Add '-8p' to each side of the equation. c + 8p + -8p = 0 + -8p Combine like terms: 8p + -8p = 0 c + 0 = 0 + -8p c = 0 + -8p Remove the zero: c = -8p Simplifying c = -8pSolution
c = {2p, -8p}
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