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Simplifying 2x2 + 2kx + 12 + -1k = 0 Reorder the terms: 12 + -1k + 2kx + 2x2 = 0 Solving 12 + -1k + 2kx + 2x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -1k + 2kx + -12 + 2x2 = 0 + -12 Reorder the terms: 12 + -12 + -1k + 2kx + 2x2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1k + 2kx + 2x2 = 0 + -12 -1k + 2kx + 2x2 = 0 + -12 Combine like terms: 0 + -12 = -12 -1k + 2kx + 2x2 = -12 Add '-2x2' to each side of the equation. -1k + 2kx + 2x2 + -2x2 = -12 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -1k + 2kx + 0 = -12 + -2x2 -1k + 2kx = -12 + -2x2 Reorder the terms: 12 + -1k + 2kx + 2x2 = -12 + -2x2 + 12 + 2x2 Reorder the terms: 12 + -1k + 2kx + 2x2 = -12 + 12 + -2x2 + 2x2 Combine like terms: -12 + 12 = 0 12 + -1k + 2kx + 2x2 = 0 + -2x2 + 2x2 12 + -1k + 2kx + 2x2 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 12 + -1k + 2kx + 2x2 = 0 The solution to this equation could not be determined.
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