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Simplifying 9c2 + 42cp + 49p2 = 0 Reorder the terms: 42cp + 9c2 + 49p2 = 0 Solving 42cp + 9c2 + 49p2 = 0 Solving for variable 'c'. Factor a trinomial. (3c + 7p)(3c + 7p) = 0Subproblem 1
Set the factor '(3c + 7p)' equal to zero and attempt to solve: Simplifying 3c + 7p = 0 Solving 3c + 7p = 0 Move all terms containing c to the left, all other terms to the right. Add '-7p' to each side of the equation. 3c + 7p + -7p = 0 + -7p Combine like terms: 7p + -7p = 0 3c + 0 = 0 + -7p 3c = 0 + -7p Remove the zero: 3c = -7p Divide each side by '3'. c = -2.333333333p Simplifying c = -2.333333333pSubproblem 2
Set the factor '(3c + 7p)' equal to zero and attempt to solve: Simplifying 3c + 7p = 0 Solving 3c + 7p = 0 Move all terms containing c to the left, all other terms to the right. Add '-7p' to each side of the equation. 3c + 7p + -7p = 0 + -7p Combine like terms: 7p + -7p = 0 3c + 0 = 0 + -7p 3c = 0 + -7p Remove the zero: 3c = -7p Divide each side by '3'. c = -2.333333333p Simplifying c = -2.333333333pSolution
c = {-2.333333333p, -2.333333333p}
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