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Simplifying 9k(k) + -16k + -25 = 0 Multiply k * k 9k2 + -16k + -25 = 0 Reorder the terms: -25 + -16k + 9k2 = 0 Solving -25 + -16k + 9k2 = 0 Solving for variable 'k'. Factor a trinomial. (-1 + -1k)(25 + -9k) = 0Subproblem 1
Set the factor '(-1 + -1k)' equal to zero and attempt to solve: Simplifying -1 + -1k = 0 Solving -1 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1k = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1k = 0 + 1 -1k = 0 + 1 Combine like terms: 0 + 1 = 1 -1k = 1 Divide each side by '-1'. k = -1 Simplifying k = -1Subproblem 2
Set the factor '(25 + -9k)' equal to zero and attempt to solve: Simplifying 25 + -9k = 0 Solving 25 + -9k = 0 Move all terms containing k to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -9k = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -9k = 0 + -25 -9k = 0 + -25 Combine like terms: 0 + -25 = -25 -9k = -25 Divide each side by '-9'. k = 2.777777778 Simplifying k = 2.777777778Solution
k = {-1, 2.777777778}
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