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Simplifying 3x3 + -4x2 + 5x + k = 0 Reorder the terms: k + 5x + -4x2 + 3x3 = 0 Solving k + 5x + -4x2 + 3x3 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5x' to each side of the equation. k + 5x + -4x2 + -5x + 3x3 = 0 + -5x Reorder the terms: k + 5x + -5x + -4x2 + 3x3 = 0 + -5x Combine like terms: 5x + -5x = 0 k + 0 + -4x2 + 3x3 = 0 + -5x k + -4x2 + 3x3 = 0 + -5x Remove the zero: k + -4x2 + 3x3 = -5x Add '4x2' to each side of the equation. k + -4x2 + 4x2 + 3x3 = -5x + 4x2 Combine like terms: -4x2 + 4x2 = 0 k + 0 + 3x3 = -5x + 4x2 k + 3x3 = -5x + 4x2 Add '-3x3' to each side of the equation. k + 3x3 + -3x3 = -5x + 4x2 + -3x3 Combine like terms: 3x3 + -3x3 = 0 k + 0 = -5x + 4x2 + -3x3 k = -5x + 4x2 + -3x3 Simplifying k = -5x + 4x2 + -3x3
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