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Simplifying x2 + kx + -8x + -4k + 15 = 0 Reorder the terms: 15 + -4k + kx + -8x + x2 = 0 Solving 15 + -4k + kx + -8x + x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -4k + kx + -8x + -15 + x2 = 0 + -15 Reorder the terms: 15 + -15 + -4k + kx + -8x + x2 = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -4k + kx + -8x + x2 = 0 + -15 -4k + kx + -8x + x2 = 0 + -15 Combine like terms: 0 + -15 = -15 -4k + kx + -8x + x2 = -15 Add '8x' to each side of the equation. -4k + kx + -8x + 8x + x2 = -15 + 8x Combine like terms: -8x + 8x = 0 -4k + kx + 0 + x2 = -15 + 8x -4k + kx + x2 = -15 + 8x Add '-1x2' to each side of the equation. -4k + kx + x2 + -1x2 = -15 + 8x + -1x2 Combine like terms: x2 + -1x2 = 0 -4k + kx + 0 = -15 + 8x + -1x2 -4k + kx = -15 + 8x + -1x2 Reorder the terms: 15 + -4k + kx + -8x + x2 = -15 + 8x + -1x2 + 15 + -8x + x2 Reorder the terms: 15 + -4k + kx + -8x + x2 = -15 + 15 + 8x + -8x + -1x2 + x2 Combine like terms: -15 + 15 = 0 15 + -4k + kx + -8x + x2 = 0 + 8x + -8x + -1x2 + x2 15 + -4k + kx + -8x + x2 = 8x + -8x + -1x2 + x2 Combine like terms: 8x + -8x = 0 15 + -4k + kx + -8x + x2 = 0 + -1x2 + x2 15 + -4k + kx + -8x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 15 + -4k + kx + -8x + x2 = 0 The solution to this equation could not be determined.
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