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Simplifying c2 + 2cp + -35p2 = 0 Reorder the terms: 2cp + c2 + -35p2 = 0 Solving 2cp + c2 + -35p2 = 0 Solving for variable 'c'. Factor a trinomial. (c + -5p)(c + 7p) = 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 + 7p)' equal to zero and attempt to solve: Simplifying c + 7p = 0 Solving c + 7p = 0 Move all terms containing c to the left, all other terms to the right. Add '-7p' to each side of the equation. c + 7p + -7p = 0 + -7p Combine like terms: 7p + -7p = 0 c + 0 = 0 + -7p c = 0 + -7p Remove the zero: c = -7p Simplifying c = -7pSolution
c = {5p, -7p}
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