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Simplifying 9k2 + 30kp + 25p2 = 0 Reorder the terms: 30kp + 9k2 + 25p2 = 0 Solving 30kp + 9k2 + 25p2 = 0 Solving for variable 'k'. Factor a trinomial. (3k + 5p)(3k + 5p) = 0Subproblem 1
Set the factor '(3k + 5p)' equal to zero and attempt to solve: Simplifying 3k + 5p = 0 Solving 3k + 5p = 0 Move all terms containing k to the left, all other terms to the right. Add '-5p' to each side of the equation. 3k + 5p + -5p = 0 + -5p Combine like terms: 5p + -5p = 0 3k + 0 = 0 + -5p 3k = 0 + -5p Remove the zero: 3k = -5p Divide each side by '3'. k = -1.666666667p Simplifying k = -1.666666667pSubproblem 2
Set the factor '(3k + 5p)' equal to zero and attempt to solve: Simplifying 3k + 5p = 0 Solving 3k + 5p = 0 Move all terms containing k to the left, all other terms to the right. Add '-5p' to each side of the equation. 3k + 5p + -5p = 0 + -5p Combine like terms: 5p + -5p = 0 3k + 0 = 0 + -5p 3k = 0 + -5p Remove the zero: 3k = -5p Divide each side by '3'. k = -1.666666667p Simplifying k = -1.666666667pSolution
k = {-1.666666667p, -1.666666667p}
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