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Simplifying 2k2 + 9k + -155 = -12 Reorder the terms: -155 + 9k + 2k2 = -12 Solving -155 + 9k + 2k2 = -12 Solving for variable 'k'. Reorder the terms: -155 + 12 + 9k + 2k2 = -12 + 12 Combine like terms: -155 + 12 = -143 -143 + 9k + 2k2 = -12 + 12 Combine like terms: -12 + 12 = 0 -143 + 9k + 2k2 = 0 Factor a trinomial. (-11 + -1k)(13 + -2k) = 0Subproblem 1
Set the factor '(-11 + -1k)' equal to zero and attempt to solve: Simplifying -11 + -1k = 0 Solving -11 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -1k = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -1k = 0 + 11 -1k = 0 + 11 Combine like terms: 0 + 11 = 11 -1k = 11 Divide each side by '-1'. k = -11 Simplifying k = -11Subproblem 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 = {-11, 6.5}
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