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Simplifying c2 + -12cp + 36p2 = 0 Reorder the terms: -12cp + c2 + 36p2 = 0 Solving -12cp + c2 + 36p2 = 0 Solving for variable 'c'. Factor a trinomial. (c + -6p)(c + -6p) = 0Subproblem 1
Set the factor '(c + -6p)' equal to zero and attempt to solve: Simplifying c + -6p = 0 Solving c + -6p = 0 Move all terms containing c to the left, all other terms to the right. Add '6p' to each side of the equation. c + -6p + 6p = 0 + 6p Combine like terms: -6p + 6p = 0 c + 0 = 0 + 6p c = 0 + 6p Remove the zero: c = 6p Simplifying c = 6pSubproblem 2
Set the factor '(c + -6p)' equal to zero and attempt to solve: Simplifying c + -6p = 0 Solving c + -6p = 0 Move all terms containing c to the left, all other terms to the right. Add '6p' to each side of the equation. c + -6p + 6p = 0 + 6p Combine like terms: -6p + 6p = 0 c + 0 = 0 + 6p c = 0 + 6p Remove the zero: c = 6p Simplifying c = 6pSolution
c = {6p, 6p}
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