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Simplifying x3 + 2x2 + -9x + k = 0 Reorder the terms: k + -9x + 2x2 + x3 = 0 Solving k + -9x + 2x2 + 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 + 2x2 + 9x + x3 = 0 + 9x Reorder the terms: k + -9x + 9x + 2x2 + x3 = 0 + 9x Combine like terms: -9x + 9x = 0 k + 0 + 2x2 + x3 = 0 + 9x k + 2x2 + x3 = 0 + 9x Remove the zero: k + 2x2 + x3 = 9x Add '-2x2' to each side of the equation. k + 2x2 + -2x2 + x3 = 9x + -2x2 Combine like terms: 2x2 + -2x2 = 0 k + 0 + x3 = 9x + -2x2 k + x3 = 9x + -2x2 Add '-1x3' to each side of the equation. k + x3 + -1x3 = 9x + -2x2 + -1x3 Combine like terms: x3 + -1x3 = 0 k + 0 = 9x + -2x2 + -1x3 k = 9x + -2x2 + -1x3 Simplifying k = 9x + -2x2 + -1x3
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