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Simplifying c2 + 4cp + -45p2 = 0 Reorder the terms: 4cp + c2 + -45p2 = 0 Solving 4cp + c2 + -45p2 = 0 Solving for variable 'c'. Factor a trinomial. (c + -5p)(c + 9p) = 0Subproblem 1
Set the factor '(c + -5p)' equal to zero and attempt to solve: Simplifying c + -5p = 0 Solving c + -5p = 0 Move all terms containing c to the left, all other terms to the right. Add '5p' to each side of the equation. c + -5p + 5p = 0 + 5p Combine like terms: -5p + 5p = 0 c + 0 = 0 + 5p c = 0 + 5p Remove the zero: c = 5p Simplifying c = 5pSubproblem 2
Set the factor '(c + 9p)' equal to zero and attempt to solve: Simplifying c + 9p = 0 Solving c + 9p = 0 Move all terms containing c to the left, all other terms to the right. Add '-9p' to each side of the equation. c + 9p + -9p = 0 + -9p Combine like terms: 9p + -9p = 0 c + 0 = 0 + -9p c = 0 + -9p Remove the zero: c = -9p Simplifying c = -9pSolution
c = {5p, -9p}
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