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