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Simplifying 2x3 + -9x2 + 12x + k = 0 Reorder the terms: k + 12x + -9x2 + 2x3 = 0 Solving k + 12x + -9x2 + 2x3 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12x' to each side of the equation. k + 12x + -9x2 + -12x + 2x3 = 0 + -12x Reorder the terms: k + 12x + -12x + -9x2 + 2x3 = 0 + -12x Combine like terms: 12x + -12x = 0 k + 0 + -9x2 + 2x3 = 0 + -12x k + -9x2 + 2x3 = 0 + -12x Remove the zero: k + -9x2 + 2x3 = -12x Add '9x2' to each side of the equation. k + -9x2 + 9x2 + 2x3 = -12x + 9x2 Combine like terms: -9x2 + 9x2 = 0 k + 0 + 2x3 = -12x + 9x2 k + 2x3 = -12x + 9x2 Add '-2x3' to each side of the equation. k + 2x3 + -2x3 = -12x + 9x2 + -2x3 Combine like terms: 2x3 + -2x3 = 0 k + 0 = -12x + 9x2 + -2x3 k = -12x + 9x2 + -2x3 Simplifying k = -12x + 9x2 + -2x3
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