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Simplifying x3 + -6x2 + 9x + k = 0 Reorder the terms: k + 9x + -6x2 + x3 = 0 Solving k + 9x + -6x2 + x3 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9x' to each side of the equation. k + 9x + -6x2 + -9x + x3 = 0 + -9x Reorder the terms: k + 9x + -9x + -6x2 + x3 = 0 + -9x Combine like terms: 9x + -9x = 0 k + 0 + -6x2 + x3 = 0 + -9x k + -6x2 + x3 = 0 + -9x Remove the zero: k + -6x2 + x3 = -9x Add '6x2' to each side of the equation. k + -6x2 + 6x2 + x3 = -9x + 6x2 Combine like terms: -6x2 + 6x2 = 0 k + 0 + x3 = -9x + 6x2 k + x3 = -9x + 6x2 Add '-1x3' to each side of the equation. k + x3 + -1x3 = -9x + 6x2 + -1x3 Combine like terms: x3 + -1x3 = 0 k + 0 = -9x + 6x2 + -1x3 k = -9x + 6x2 + -1x3 Simplifying k = -9x + 6x2 + -1x3
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