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Simplifying x2 + (4k + -8) * x + -16 = 0 Reorder the terms: x2 + (-8 + 4k) * x + -16 = 0 Reorder the terms for easier multiplication: x2 + x(-8 + 4k) + -16 = 0 x2 + (-8 * x + 4k * x) + -16 = 0 Reorder the terms: x2 + (4kx + -8x) + -16 = 0 x2 + (4kx + -8x) + -16 = 0 Reorder the terms: -16 + 4kx + -8x + x2 = 0 Solving -16 + 4kx + -8x + x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 4kx + -8x + 16 + x2 = 0 + 16 Reorder the terms: -16 + 16 + 4kx + -8x + x2 = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 4kx + -8x + x2 = 0 + 16 4kx + -8x + x2 = 0 + 16 Combine like terms: 0 + 16 = 16 4kx + -8x + x2 = 16 Add '8x' to each side of the equation. 4kx + -8x + 8x + x2 = 16 + 8x Combine like terms: -8x + 8x = 0 4kx + 0 + x2 = 16 + 8x 4kx + x2 = 16 + 8x Add '-1x2' to each side of the equation. 4kx + x2 + -1x2 = 16 + 8x + -1x2 Combine like terms: x2 + -1x2 = 0 4kx + 0 = 16 + 8x + -1x2 4kx = 16 + 8x + -1x2 Divide each side by '4x'. k = 4x-1 + 2 + -0.25x Simplifying k = 4x-1 + 2 + -0.25x Reorder the terms: k = 2 + 4x-1 + -0.25x
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