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Simplifying 9p2 + -24pk + 16k2 = 0 Reorder the terms: -24kp + 16k2 + 9p2 = 0 Solving -24kp + 16k2 + 9p2 = 0 Solving for variable 'k'. Factor a trinomial. (4k + -3p)(4k + -3p) = 0Subproblem 1
Set the factor '(4k + -3p)' equal to zero and attempt to solve: Simplifying 4k + -3p = 0 Solving 4k + -3p = 0 Move all terms containing k to the left, all other terms to the right. Add '3p' to each side of the equation. 4k + -3p + 3p = 0 + 3p Combine like terms: -3p + 3p = 0 4k + 0 = 0 + 3p 4k = 0 + 3p Remove the zero: 4k = 3p Divide each side by '4'. k = 0.75p Simplifying k = 0.75pSubproblem 2
Set the factor '(4k + -3p)' equal to zero and attempt to solve: Simplifying 4k + -3p = 0 Solving 4k + -3p = 0 Move all terms containing k to the left, all other terms to the right. Add '3p' to each side of the equation. 4k + -3p + 3p = 0 + 3p Combine like terms: -3p + 3p = 0 4k + 0 = 0 + 3p 4k = 0 + 3p Remove the zero: 4k = 3p Divide each side by '4'. k = 0.75p Simplifying k = 0.75pSolution
k = {0.75p, 0.75p}
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