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Simplifying 16c2 + 72cp + 81p2 = 0 Reorder the terms: 72cp + 16c2 + 81p2 = 0 Solving 72cp + 16c2 + 81p2 = 0 Solving for variable 'c'. Factor a trinomial. (4c + 9p)(4c + 9p) = 0Subproblem 1
Set the factor '(4c + 9p)' equal to zero and attempt to solve: Simplifying 4c + 9p = 0 Solving 4c + 9p = 0 Move all terms containing c to the left, all other terms to the right. Add '-9p' to each side of the equation. 4c + 9p + -9p = 0 + -9p Combine like terms: 9p + -9p = 0 4c + 0 = 0 + -9p 4c = 0 + -9p Remove the zero: 4c = -9p Divide each side by '4'. c = -2.25p Simplifying c = -2.25pSubproblem 2
Set the factor '(4c + 9p)' equal to zero and attempt to solve: Simplifying 4c + 9p = 0 Solving 4c + 9p = 0 Move all terms containing c to the left, all other terms to the right. Add '-9p' to each side of the equation. 4c + 9p + -9p = 0 + -9p Combine like terms: 9p + -9p = 0 4c + 0 = 0 + -9p 4c = 0 + -9p Remove the zero: 4c = -9p Divide each side by '4'. c = -2.25p Simplifying c = -2.25pSolution
c = {-2.25p, -2.25p}
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