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Simplifying 8x2 + 4kx + 2 = 0 Reorder the terms: 2 + 4kx + 8x2 = 0 Solving 2 + 4kx + 8x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 4kx + -2 + 8x2 = 0 + -2 Reorder the terms: 2 + -2 + 4kx + 8x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 4kx + 8x2 = 0 + -2 4kx + 8x2 = 0 + -2 Combine like terms: 0 + -2 = -2 4kx + 8x2 = -2 Add '-8x2' to each side of the equation. 4kx + 8x2 + -8x2 = -2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 4kx + 0 = -2 + -8x2 4kx = -2 + -8x2 Divide each side by '4x'. k = -0.5x-1 + -2x Simplifying k = -0.5x-1 + -2x
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