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