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Simplifying 10x3 + 17x2 + 8x + 1 + k = 0 Reorder the terms: 1 + k + 8x + 17x2 + 10x3 = 0 Solving 1 + k + 8x + 17x2 + 10x3 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + k + 8x + 17x2 + -1 + 10x3 = 0 + -1 Reorder the terms: 1 + -1 + k + 8x + 17x2 + 10x3 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + k + 8x + 17x2 + 10x3 = 0 + -1 k + 8x + 17x2 + 10x3 = 0 + -1 Combine like terms: 0 + -1 = -1 k + 8x + 17x2 + 10x3 = -1 Add '-8x' to each side of the equation. k + 8x + 17x2 + -8x + 10x3 = -1 + -8x Reorder the terms: k + 8x + -8x + 17x2 + 10x3 = -1 + -8x Combine like terms: 8x + -8x = 0 k + 0 + 17x2 + 10x3 = -1 + -8x k + 17x2 + 10x3 = -1 + -8x Add '-17x2' to each side of the equation. k + 17x2 + -17x2 + 10x3 = -1 + -8x + -17x2 Combine like terms: 17x2 + -17x2 = 0 k + 0 + 10x3 = -1 + -8x + -17x2 k + 10x3 = -1 + -8x + -17x2 Add '-10x3' to each side of the equation. k + 10x3 + -10x3 = -1 + -8x + -17x2 + -10x3 Combine like terms: 10x3 + -10x3 = 0 k + 0 = -1 + -8x + -17x2 + -10x3 k = -1 + -8x + -17x2 + -10x3 Simplifying k = -1 + -8x + -17x2 + -10x3
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