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Simplifying x4 + -10x3 + 24x2 + 8k + 4 = 0 Reorder the terms: 4 + 8k + 24x2 + -10x3 + x4 = 0 Solving 4 + 8k + 24x2 + -10x3 + x4 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 8k + 24x2 + -10x3 + -4 + x4 = 0 + -4 Reorder the terms: 4 + -4 + 8k + 24x2 + -10x3 + x4 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 8k + 24x2 + -10x3 + x4 = 0 + -4 8k + 24x2 + -10x3 + x4 = 0 + -4 Combine like terms: 0 + -4 = -4 8k + 24x2 + -10x3 + x4 = -4 Add '-24x2' to each side of the equation. 8k + 24x2 + -10x3 + -24x2 + x4 = -4 + -24x2 Reorder the terms: 8k + 24x2 + -24x2 + -10x3 + x4 = -4 + -24x2 Combine like terms: 24x2 + -24x2 = 0 8k + 0 + -10x3 + x4 = -4 + -24x2 8k + -10x3 + x4 = -4 + -24x2 Add '10x3' to each side of the equation. 8k + -10x3 + 10x3 + x4 = -4 + -24x2 + 10x3 Combine like terms: -10x3 + 10x3 = 0 8k + 0 + x4 = -4 + -24x2 + 10x3 8k + x4 = -4 + -24x2 + 10x3 Add '-1x4' to each side of the equation. 8k + x4 + -1x4 = -4 + -24x2 + 10x3 + -1x4 Combine like terms: x4 + -1x4 = 0 8k + 0 = -4 + -24x2 + 10x3 + -1x4 8k = -4 + -24x2 + 10x3 + -1x4 Divide each side by '8'. k = -0.5 + -3x2 + 1.25x3 + -0.125x4 Simplifying k = -0.5 + -3x2 + 1.25x3 + -0.125x4
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