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Simplifying x2 + -1k(2x + -5) = 2x + -5 Reorder the terms: x2 + -1k(-5 + 2x) = 2x + -5 x2 + (-5 * -1k + 2x * -1k) = 2x + -5 x2 + (5k + -2kx) = 2x + -5 Reorder the terms: 5k + -2kx + x2 = 2x + -5 Reorder the terms: 5k + -2kx + x2 = -5 + 2x Solving 5k + -2kx + x2 = -5 + 2x Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1x2' to each side of the equation. 5k + -2kx + x2 + -1x2 = -5 + 2x + -1x2 Combine like terms: x2 + -1x2 = 0 5k + -2kx + 0 = -5 + 2x + -1x2 5k + -2kx = -5 + 2x + -1x2 Reorder the terms: 5 + 5k + -2kx + -2x + x2 = -5 + 2x + -1x2 + 5 + -2x + x2 Reorder the terms: 5 + 5k + -2kx + -2x + x2 = -5 + 5 + 2x + -2x + -1x2 + x2 Combine like terms: -5 + 5 = 0 5 + 5k + -2kx + -2x + x2 = 0 + 2x + -2x + -1x2 + x2 5 + 5k + -2kx + -2x + x2 = 2x + -2x + -1x2 + x2 Combine like terms: 2x + -2x = 0 5 + 5k + -2kx + -2x + x2 = 0 + -1x2 + x2 5 + 5k + -2kx + -2x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 5 + 5k + -2kx + -2x + x2 = 0 The solution to this equation could not be determined.
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