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Simplifying 9k2 + -24kp + 16p2 = 0 Reorder the terms: -24kp + 9k2 + 16p2 = 0 Solving -24kp + 9k2 + 16p2 = 0 Solving for variable 'k'. Factor a trinomial. (3k + -4p)(3k + -4p) = 0Subproblem 1
Set the factor '(3k + -4p)' equal to zero and attempt to solve: Simplifying 3k + -4p = 0 Solving 3k + -4p = 0 Move all terms containing k to the left, all other terms to the right. Add '4p' to each side of the equation. 3k + -4p + 4p = 0 + 4p Combine like terms: -4p + 4p = 0 3k + 0 = 0 + 4p 3k = 0 + 4p Remove the zero: 3k = 4p Divide each side by '3'. k = 1.333333333p Simplifying k = 1.333333333pSubproblem 2
Set the factor '(3k + -4p)' equal to zero and attempt to solve: Simplifying 3k + -4p = 0 Solving 3k + -4p = 0 Move all terms containing k to the left, all other terms to the right. Add '4p' to each side of the equation. 3k + -4p + 4p = 0 + 4p Combine like terms: -4p + 4p = 0 3k + 0 = 0 + 4p 3k = 0 + 4p Remove the zero: 3k = 4p Divide each side by '3'. k = 1.333333333p Simplifying k = 1.333333333pSolution
k = {1.333333333p, 1.333333333p}
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