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