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Simplifying 2x2 + 2kx + 3k + 8 = 0 Reorder the terms: 8 + 3k + 2kx + 2x2 = 0 Solving 8 + 3k + 2kx + 2x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 3k + 2kx + -8 + 2x2 = 0 + -8 Reorder the terms: 8 + -8 + 3k + 2kx + 2x2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3k + 2kx + 2x2 = 0 + -8 3k + 2kx + 2x2 = 0 + -8 Combine like terms: 0 + -8 = -8 3k + 2kx + 2x2 = -8 Add '-2x2' to each side of the equation. 3k + 2kx + 2x2 + -2x2 = -8 + -2x2 Combine like terms: 2x2 + -2x2 = 0 3k + 2kx + 0 = -8 + -2x2 3k + 2kx = -8 + -2x2 Reorder the terms: 8 + 3k + 2kx + 2x2 = -8 + -2x2 + 8 + 2x2 Reorder the terms: 8 + 3k + 2kx + 2x2 = -8 + 8 + -2x2 + 2x2 Combine like terms: -8 + 8 = 0 8 + 3k + 2kx + 2x2 = 0 + -2x2 + 2x2 8 + 3k + 2kx + 2x2 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 8 + 3k + 2kx + 2x2 = 0 The solution to this equation could not be determined.
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