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Simplifying 9k2 + 30kn + 25n2 = 0 Reorder the terms: 30kn + 9k2 + 25n2 = 0 Solving 30kn + 9k2 + 25n2 = 0 Solving for variable 'k'. Factor a trinomial. (3k + 5n)(3k + 5n) = 0Subproblem 1
Set the factor '(3k + 5n)' equal to zero and attempt to solve: Simplifying 3k + 5n = 0 Solving 3k + 5n = 0 Move all terms containing k to the left, all other terms to the right. Add '-5n' to each side of the equation. 3k + 5n + -5n = 0 + -5n Combine like terms: 5n + -5n = 0 3k + 0 = 0 + -5n 3k = 0 + -5n Remove the zero: 3k = -5n Divide each side by '3'. k = -1.666666667n Simplifying k = -1.666666667nSubproblem 2
Set the factor '(3k + 5n)' equal to zero and attempt to solve: Simplifying 3k + 5n = 0 Solving 3k + 5n = 0 Move all terms containing k to the left, all other terms to the right. Add '-5n' to each side of the equation. 3k + 5n + -5n = 0 + -5n Combine like terms: 5n + -5n = 0 3k + 0 = 0 + -5n 3k = 0 + -5n Remove the zero: 3k = -5n Divide each side by '3'. k = -1.666666667n Simplifying k = -1.666666667nSolution
k = {-1.666666667n, -1.666666667n}
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