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Simplifying 81c2 + -18cp + p2 = 0 Reorder the terms: -18cp + 81c2 + p2 = 0 Solving -18cp + 81c2 + p2 = 0 Solving for variable 'c'. Factor a trinomial. (9c + -1p)(9c + -1p) = 0Subproblem 1
Set the factor '(9c + -1p)' equal to zero and attempt to solve: Simplifying 9c + -1p = 0 Solving 9c + -1p = 0 Move all terms containing c to the left, all other terms to the right. Add 'p' to each side of the equation. 9c + -1p + p = 0 + p Combine like terms: -1p + p = 0 9c + 0 = 0 + p 9c = 0 + p Remove the zero: 9c = p Divide each side by '9'. c = 0.1111111111p Simplifying c = 0.1111111111pSubproblem 2
Set the factor '(9c + -1p)' equal to zero and attempt to solve: Simplifying 9c + -1p = 0 Solving 9c + -1p = 0 Move all terms containing c to the left, all other terms to the right. Add 'p' to each side of the equation. 9c + -1p + p = 0 + p Combine like terms: -1p + p = 0 9c + 0 = 0 + p 9c = 0 + p Remove the zero: 9c = p Divide each side by '9'. c = 0.1111111111p Simplifying c = 0.1111111111pSolution
c = {0.1111111111p, 0.1111111111p}
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