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Simplifying 64c2 + -144cp + 81p2 = 0 Reorder the terms: -144cp + 64c2 + 81p2 = 0 Solving -144cp + 64c2 + 81p2 = 0 Solving for variable 'c'. Factor a trinomial. (8c + -9p)(8c + -9p) = 0Subproblem 1
Set the factor '(8c + -9p)' equal to zero and attempt to solve: Simplifying 8c + -9p = 0 Solving 8c + -9p = 0 Move all terms containing c to the left, all other terms to the right. Add '9p' to each side of the equation. 8c + -9p + 9p = 0 + 9p Combine like terms: -9p + 9p = 0 8c + 0 = 0 + 9p 8c = 0 + 9p Remove the zero: 8c = 9p Divide each side by '8'. c = 1.125p Simplifying c = 1.125pSubproblem 2
Set the factor '(8c + -9p)' equal to zero and attempt to solve: Simplifying 8c + -9p = 0 Solving 8c + -9p = 0 Move all terms containing c to the left, all other terms to the right. Add '9p' to each side of the equation. 8c + -9p + 9p = 0 + 9p Combine like terms: -9p + 9p = 0 8c + 0 = 0 + 9p 8c = 0 + 9p Remove the zero: 8c = 9p Divide each side by '8'. c = 1.125p Simplifying c = 1.125pSolution
c = {1.125p, 1.125p}
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