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Simplifying kx2 + 8x + 2(k + 7) = 0 Reorder the terms: kx2 + 8x + 2(7 + k) = 0 kx2 + 8x + (7 * 2 + k * 2) = 0 kx2 + 8x + (14 + 2k) = 0 Reorder the terms: 14 + 2k + kx2 + 8x = 0 Solving 14 + 2k + kx2 + 8x = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + 2k + kx2 + -14 + 8x = 0 + -14 Reorder the terms: 14 + -14 + 2k + kx2 + 8x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 2k + kx2 + 8x = 0 + -14 2k + kx2 + 8x = 0 + -14 Combine like terms: 0 + -14 = -14 2k + kx2 + 8x = -14 Add '-8x' to each side of the equation. 2k + kx2 + 8x + -8x = -14 + -8x Combine like terms: 8x + -8x = 0 2k + kx2 + 0 = -14 + -8x 2k + kx2 = -14 + -8x Reorder the terms: 14 + 2k + kx2 + 8x = -14 + -8x + 14 + 8x Reorder the terms: 14 + 2k + kx2 + 8x = -14 + 14 + -8x + 8x Combine like terms: -14 + 14 = 0 14 + 2k + kx2 + 8x = 0 + -8x + 8x 14 + 2k + kx2 + 8x = -8x + 8x Combine like terms: -8x + 8x = 0 14 + 2k + kx2 + 8x = 0 The solution to this equation could not be determined.
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