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Simplifying c2 + -6cp + 9p2 = 0 Reorder the terms: -6cp + c2 + 9p2 = 0 Solving -6cp + c2 + 9p2 = 0 Solving for variable 'c'. Factor a trinomial. (c + -3p)(c + -3p) = 0Subproblem 1
Set the factor '(c + -3p)' equal to zero and attempt to solve: Simplifying c + -3p = 0 Solving c + -3p = 0 Move all terms containing c to the left, all other terms to the right. Add '3p' to each side of the equation. c + -3p + 3p = 0 + 3p Combine like terms: -3p + 3p = 0 c + 0 = 0 + 3p c = 0 + 3p Remove the zero: c = 3p Simplifying c = 3pSubproblem 2
Set the factor '(c + -3p)' equal to zero and attempt to solve: Simplifying c + -3p = 0 Solving c + -3p = 0 Move all terms containing c to the left, all other terms to the right. Add '3p' to each side of the equation. c + -3p + 3p = 0 + 3p Combine like terms: -3p + 3p = 0 c + 0 = 0 + 3p c = 0 + 3p Remove the zero: c = 3p Simplifying c = 3pSolution
c = {3p, 3p}
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