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Simplifying 2k2 = -3k + 104 Reorder the terms: 2k2 = 104 + -3k Solving 2k2 = 104 + -3k Solving for variable 'k'. Reorder the terms: -104 + 3k + 2k2 = 104 + -3k + -104 + 3k Reorder the terms: -104 + 3k + 2k2 = 104 + -104 + -3k + 3k Combine like terms: 104 + -104 = 0 -104 + 3k + 2k2 = 0 + -3k + 3k -104 + 3k + 2k2 = -3k + 3k Combine like terms: -3k + 3k = 0 -104 + 3k + 2k2 = 0 Factor a trinomial. (-8 + -1k)(13 + -2k) = 0Subproblem 1
Set the factor '(-8 + -1k)' equal to zero and attempt to solve: Simplifying -8 + -1k = 0 Solving -8 + -1k = 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 + -1k = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1k = 0 + 8 -1k = 0 + 8 Combine like terms: 0 + 8 = 8 -1k = 8 Divide each side by '-1'. k = -8 Simplifying k = -8Subproblem 2
Set the factor '(13 + -2k)' equal to zero and attempt to solve: Simplifying 13 + -2k = 0 Solving 13 + -2k = 0 Move all terms containing k to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -2k = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -2k = 0 + -13 -2k = 0 + -13 Combine like terms: 0 + -13 = -13 -2k = -13 Divide each side by '-2'. k = 6.5 Simplifying k = 6.5Solution
k = {-8, 6.5}
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