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Simplifying x2 + -2x + 2kx + -4k + 36 = 0 Reorder the terms: 36 + -4k + 2kx + -2x + x2 = 0 Solving 36 + -4k + 2kx + -2x + x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -4k + 2kx + -2x + -36 + x2 = 0 + -36 Reorder the terms: 36 + -36 + -4k + 2kx + -2x + x2 = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -4k + 2kx + -2x + x2 = 0 + -36 -4k + 2kx + -2x + x2 = 0 + -36 Combine like terms: 0 + -36 = -36 -4k + 2kx + -2x + x2 = -36 Add '2x' to each side of the equation. -4k + 2kx + -2x + 2x + x2 = -36 + 2x Combine like terms: -2x + 2x = 0 -4k + 2kx + 0 + x2 = -36 + 2x -4k + 2kx + x2 = -36 + 2x Add '-1x2' to each side of the equation. -4k + 2kx + x2 + -1x2 = -36 + 2x + -1x2 Combine like terms: x2 + -1x2 = 0 -4k + 2kx + 0 = -36 + 2x + -1x2 -4k + 2kx = -36 + 2x + -1x2 Reorder the terms: 36 + -4k + 2kx + -2x + x2 = -36 + 2x + -1x2 + 36 + -2x + x2 Reorder the terms: 36 + -4k + 2kx + -2x + x2 = -36 + 36 + 2x + -2x + -1x2 + x2 Combine like terms: -36 + 36 = 0 36 + -4k + 2kx + -2x + x2 = 0 + 2x + -2x + -1x2 + x2 36 + -4k + 2kx + -2x + x2 = 2x + -2x + -1x2 + x2 Combine like terms: 2x + -2x = 0 36 + -4k + 2kx + -2x + x2 = 0 + -1x2 + x2 36 + -4k + 2kx + -2x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 36 + -4k + 2kx + -2x + x2 = 0 The solution to this equation could not be determined.
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