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Simplifying kx2 + 8x + 1 = 0 Reorder the terms: 1 + kx2 + 8x = 0 Solving 1 + kx2 + 8x = 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 + kx2 + -1 + 8x = 0 + -1 Reorder the terms: 1 + -1 + kx2 + 8x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + kx2 + 8x = 0 + -1 kx2 + 8x = 0 + -1 Combine like terms: 0 + -1 = -1 kx2 + 8x = -1 Add '-8x' to each side of the equation. kx2 + 8x + -8x = -1 + -8x Combine like terms: 8x + -8x = 0 kx2 + 0 = -1 + -8x kx2 = -1 + -8x Divide each side by 'x2'. k = -1x-2 + -8x-1 Simplifying k = -1x-2 + -8x-1
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