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Simplifying x5 + 4kx + -4x2 = 0 Reorder the terms: 4kx + -4x2 + x5 = 0 Solving 4kx + -4x2 + x5 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4x2' to each side of the equation. 4kx + -4x2 + 4x2 + x5 = 0 + 4x2 Combine like terms: -4x2 + 4x2 = 0 4kx + 0 + x5 = 0 + 4x2 4kx + x5 = 0 + 4x2 Remove the zero: 4kx + x5 = 4x2 Add '-1x5' to each side of the equation. 4kx + x5 + -1x5 = 4x2 + -1x5 Combine like terms: x5 + -1x5 = 0 4kx + 0 = 4x2 + -1x5 4kx = 4x2 + -1x5 Divide each side by '4x'. k = x + -0.25x4 Simplifying k = x + -0.25x4
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