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Simplifying (1 + 2k) * x2 + -10x + k + -2 = 0 Reorder the terms for easier multiplication: x2(1 + 2k) + -10x + k + -2 = 0 (1 * x2 + 2k * x2) + -10x + k + -2 = 0 Reorder the terms: (2kx2 + 1x2) + -10x + k + -2 = 0 (2kx2 + 1x2) + -10x + k + -2 = 0 Reorder the terms: -2 + k + 2kx2 + -10x + 1x2 = 0 Solving -2 + k + 2kx2 + -10x + 1x2 = 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 + k + 2kx2 + -10x + 2 + 1x2 = 0 + 2 Reorder the terms: -2 + 2 + k + 2kx2 + -10x + 1x2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + k + 2kx2 + -10x + 1x2 = 0 + 2 k + 2kx2 + -10x + 1x2 = 0 + 2 Combine like terms: 0 + 2 = 2 k + 2kx2 + -10x + 1x2 = 2 Add '10x' to each side of the equation. k + 2kx2 + -10x + 10x + 1x2 = 2 + 10x Combine like terms: -10x + 10x = 0 k + 2kx2 + 0 + 1x2 = 2 + 10x k + 2kx2 + 1x2 = 2 + 10x Add '-1x2' to each side of the equation. k + 2kx2 + 1x2 + -1x2 = 2 + 10x + -1x2 Combine like terms: 1x2 + -1x2 = 0 k + 2kx2 + 0 = 2 + 10x + -1x2 k + 2kx2 = 2 + 10x + -1x2 Reorder the terms: -2 + k + 2kx2 + -10x + x2 = 2 + 10x + -1x2 + -2 + -10x + x2 Reorder the terms: -2 + k + 2kx2 + -10x + x2 = 2 + -2 + 10x + -10x + -1x2 + x2 Combine like terms: 2 + -2 = 0 -2 + k + 2kx2 + -10x + x2 = 0 + 10x + -10x + -1x2 + x2 -2 + k + 2kx2 + -10x + x2 = 10x + -10x + -1x2 + x2 Combine like terms: 10x + -10x = 0 -2 + k + 2kx2 + -10x + x2 = 0 + -1x2 + x2 -2 + k + 2kx2 + -10x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -2 + k + 2kx2 + -10x + x2 = 0 The solution to this equation could not be determined.
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