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Simplifying 36c2 + -84cp + 49p2 = 0 Reorder the terms: -84cp + 36c2 + 49p2 = 0 Solving -84cp + 36c2 + 49p2 = 0 Solving for variable 'c'. Factor a trinomial. (6c + -7p)(6c + -7p) = 0Subproblem 1
Set the factor '(6c + -7p)' equal to zero and attempt to solve: Simplifying 6c + -7p = 0 Solving 6c + -7p = 0 Move all terms containing c to the left, all other terms to the right. Add '7p' to each side of the equation. 6c + -7p + 7p = 0 + 7p Combine like terms: -7p + 7p = 0 6c + 0 = 0 + 7p 6c = 0 + 7p Remove the zero: 6c = 7p Divide each side by '6'. c = 1.166666667p Simplifying c = 1.166666667pSubproblem 2
Set the factor '(6c + -7p)' equal to zero and attempt to solve: Simplifying 6c + -7p = 0 Solving 6c + -7p = 0 Move all terms containing c to the left, all other terms to the right. Add '7p' to each side of the equation. 6c + -7p + 7p = 0 + 7p Combine like terms: -7p + 7p = 0 6c + 0 = 0 + 7p 6c = 0 + 7p Remove the zero: 6c = 7p Divide each side by '6'. c = 1.166666667p Simplifying c = 1.166666667pSolution
c = {1.166666667p, 1.166666667p}
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