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Simplifying 25c2 + 90cp + 81p2 = 0 Reorder the terms: 90cp + 25c2 + 81p2 = 0 Solving 90cp + 25c2 + 81p2 = 0 Solving for variable 'c'. Factor a trinomial. (5c + 9p)(5c + 9p) = 0Subproblem 1
Set the factor '(5c + 9p)' equal to zero and attempt to solve: Simplifying 5c + 9p = 0 Solving 5c + 9p = 0 Move all terms containing c to the left, all other terms to the right. Add '-9p' to each side of the equation. 5c + 9p + -9p = 0 + -9p Combine like terms: 9p + -9p = 0 5c + 0 = 0 + -9p 5c = 0 + -9p Remove the zero: 5c = -9p Divide each side by '5'. c = -1.8p Simplifying c = -1.8pSubproblem 2
Set the factor '(5c + 9p)' equal to zero and attempt to solve: Simplifying 5c + 9p = 0 Solving 5c + 9p = 0 Move all terms containing c to the left, all other terms to the right. Add '-9p' to each side of the equation. 5c + 9p + -9p = 0 + -9p Combine like terms: 9p + -9p = 0 5c + 0 = 0 + -9p 5c = 0 + -9p Remove the zero: 5c = -9p Divide each side by '5'. c = -1.8p Simplifying c = -1.8pSolution
c = {-1.8p, -1.8p}
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