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Simplifying 25c2 + 80cp + 64p2 = 0 Reorder the terms: 80cp + 25c2 + 64p2 = 0 Solving 80cp + 25c2 + 64p2 = 0 Solving for variable 'c'. Factor a trinomial. (5c + 8p)(5c + 8p) = 0Subproblem 1
Set the factor '(5c + 8p)' equal to zero and attempt to solve: Simplifying 5c + 8p = 0 Solving 5c + 8p = 0 Move all terms containing c to the left, all other terms to the right. Add '-8p' to each side of the equation. 5c + 8p + -8p = 0 + -8p Combine like terms: 8p + -8p = 0 5c + 0 = 0 + -8p 5c = 0 + -8p Remove the zero: 5c = -8p Divide each side by '5'. c = -1.6p Simplifying c = -1.6pSubproblem 2
Set the factor '(5c + 8p)' equal to zero and attempt to solve: Simplifying 5c + 8p = 0 Solving 5c + 8p = 0 Move all terms containing c to the left, all other terms to the right. Add '-8p' to each side of the equation. 5c + 8p + -8p = 0 + -8p Combine like terms: 8p + -8p = 0 5c + 0 = 0 + -8p 5c = 0 + -8p Remove the zero: 5c = -8p Divide each side by '5'. c = -1.6p Simplifying c = -1.6pSolution
c = {-1.6p, -1.6p}
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