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Simplifying kx2 + 4x + 1 = 0 Reorder the terms: 1 + kx2 + 4x = 0 Solving 1 + kx2 + 4x = 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 + 4x = 0 + -1 Reorder the terms: 1 + -1 + kx2 + 4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + kx2 + 4x = 0 + -1 kx2 + 4x = 0 + -1 Combine like terms: 0 + -1 = -1 kx2 + 4x = -1 Add '-4x' to each side of the equation. kx2 + 4x + -4x = -1 + -4x Combine like terms: 4x + -4x = 0 kx2 + 0 = -1 + -4x kx2 = -1 + -4x Divide each side by 'x2'. k = -1x-2 + -4x-1 Simplifying k = -1x-2 + -4x-1
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