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Simplifying 6k2 + 11kp + -10p2 = 0 Reorder the terms: 11kp + 6k2 + -10p2 = 0 Solving 11kp + 6k2 + -10p2 = 0 Solving for variable 'k'. Factor a trinomial. (3k + -2p)(2k + 5p) = 0Subproblem 1
Set the factor '(3k + -2p)' equal to zero and attempt to solve: Simplifying 3k + -2p = 0 Solving 3k + -2p = 0 Move all terms containing k to the left, all other terms to the right. Add '2p' to each side of the equation. 3k + -2p + 2p = 0 + 2p Combine like terms: -2p + 2p = 0 3k + 0 = 0 + 2p 3k = 0 + 2p Remove the zero: 3k = 2p Divide each side by '3'. k = 0.6666666667p Simplifying k = 0.6666666667pSubproblem 2
Set the factor '(2k + 5p)' equal to zero and attempt to solve: Simplifying 2k + 5p = 0 Solving 2k + 5p = 0 Move all terms containing k to the left, all other terms to the right. Add '-5p' to each side of the equation. 2k + 5p + -5p = 0 + -5p Combine like terms: 5p + -5p = 0 2k + 0 = 0 + -5p 2k = 0 + -5p Remove the zero: 2k = -5p Divide each side by '2'. k = -2.5p Simplifying k = -2.5pSolution
k = {0.6666666667p, -2.5p}
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