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Simplifying 3k2 + -4k = 32 Reorder the terms: -4k + 3k2 = 32 Solving -4k + 3k2 = 32 Solving for variable 'k'. Reorder the terms: -32 + -4k + 3k2 = 32 + -32 Combine like terms: 32 + -32 = 0 -32 + -4k + 3k2 = 0 Factor a trinomial. (-8 + -3k)(4 + -1k) = 0Subproblem 1
Set the factor '(-8 + -3k)' equal to zero and attempt to solve: Simplifying -8 + -3k = 0 Solving -8 + -3k = 0 Move all terms containing k to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -3k = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -3k = 0 + 8 -3k = 0 + 8 Combine like terms: 0 + 8 = 8 -3k = 8 Divide each side by '-3'. k = -2.666666667 Simplifying k = -2.666666667Subproblem 2
Set the factor '(4 + -1k)' equal to zero and attempt to solve: Simplifying 4 + -1k = 0 Solving 4 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1k = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1k = 0 + -4 -1k = 0 + -4 Combine like terms: 0 + -4 = -4 -1k = -4 Divide each side by '-1'. k = 4 Simplifying k = 4Solution
k = {-2.666666667, 4}
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