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Simplifying x2 + 3x + -8 + 8k = 0findk Reorder the terms: -8 + 8k + 3x + x2 = 0findk Anything times zero is zero. -8 + 8k + 3x + x2 = 0dfikn Solving -8 + 8k + 3x + x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8k + 3x + 8 + x2 = 0 + 8 Reorder the terms: -8 + 8 + 8k + 3x + x2 = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 8k + 3x + x2 = 0 + 8 8k + 3x + x2 = 0 + 8 Combine like terms: 0 + 8 = 8 8k + 3x + x2 = 8 Add '-3x' to each side of the equation. 8k + 3x + -3x + x2 = 8 + -3x Combine like terms: 3x + -3x = 0 8k + 0 + x2 = 8 + -3x 8k + x2 = 8 + -3x Add '-1x2' to each side of the equation. 8k + x2 + -1x2 = 8 + -3x + -1x2 Combine like terms: x2 + -1x2 = 0 8k + 0 = 8 + -3x + -1x2 8k = 8 + -3x + -1x2 Divide each side by '8'. k = 1 + -0.375x + -0.125x2 Simplifying k = 1 + -0.375x + -0.125x2
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