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Simplifying 4kx2 + -1x + 1 = 0 Reorder the terms: 1 + 4kx2 + -1x = 0 Solving 1 + 4kx2 + -1x = 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 + 4kx2 + -1 + -1x = 0 + -1 Reorder the terms: 1 + -1 + 4kx2 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4kx2 + -1x = 0 + -1 4kx2 + -1x = 0 + -1 Combine like terms: 0 + -1 = -1 4kx2 + -1x = -1 Add 'x' to each side of the equation. 4kx2 + -1x + x = -1 + x Combine like terms: -1x + x = 0 4kx2 + 0 = -1 + x 4kx2 = -1 + x Divide each side by '4x2'. k = -0.25x-2 + 0.25x-1 Simplifying k = -0.25x-2 + 0.25x-1
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