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Simplifying x2 + 2kx + (3k + 4) = 0 Reorder the terms: x2 + 2kx + (4 + 3k) = 0 Remove parenthesis around (4 + 3k) x2 + 2kx + 4 + 3k = 0 Reorder the terms: 4 + 3k + 2kx + x2 = 0 Solving 4 + 3k + 2kx + x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 3k + 2kx + -4 + x2 = 0 + -4 Reorder the terms: 4 + -4 + 3k + 2kx + x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3k + 2kx + x2 = 0 + -4 3k + 2kx + x2 = 0 + -4 Combine like terms: 0 + -4 = -4 3k + 2kx + x2 = -4 Add '-1x2' to each side of the equation. 3k + 2kx + x2 + -1x2 = -4 + -1x2 Combine like terms: x2 + -1x2 = 0 3k + 2kx + 0 = -4 + -1x2 3k + 2kx = -4 + -1x2 Reorder the terms: 4 + 3k + 2kx + x2 = -4 + -1x2 + 4 + x2 Reorder the terms: 4 + 3k + 2kx + x2 = -4 + 4 + -1x2 + x2 Combine like terms: -4 + 4 = 0 4 + 3k + 2kx + x2 = 0 + -1x2 + x2 4 + 3k + 2kx + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 4 + 3k + 2kx + x2 = 0 The solution to this equation could not be determined.
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