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Simplifying 3x2 + 2kx + (2k + -3) = 0 Reorder the terms: 3x2 + 2kx + (-3 + 2k) = 0 Remove parenthesis around (-3 + 2k) 3x2 + 2kx + -3 + 2k = 0 Reorder the terms: -3 + 2k + 2kx + 3x2 = 0 Solving -3 + 2k + 2kx + 3x2 = 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 + 2k + 2kx + 3 + 3x2 = 0 + 3 Reorder the terms: -3 + 3 + 2k + 2kx + 3x2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2k + 2kx + 3x2 = 0 + 3 2k + 2kx + 3x2 = 0 + 3 Combine like terms: 0 + 3 = 3 2k + 2kx + 3x2 = 3 Add '-3x2' to each side of the equation. 2k + 2kx + 3x2 + -3x2 = 3 + -3x2 Combine like terms: 3x2 + -3x2 = 0 2k + 2kx + 0 = 3 + -3x2 2k + 2kx = 3 + -3x2 Reorder the terms: -3 + 2k + 2kx + 3x2 = 3 + -3x2 + -3 + 3x2 Reorder the terms: -3 + 2k + 2kx + 3x2 = 3 + -3 + -3x2 + 3x2 Combine like terms: 3 + -3 = 0 -3 + 2k + 2kx + 3x2 = 0 + -3x2 + 3x2 -3 + 2k + 2kx + 3x2 = -3x2 + 3x2 Combine like terms: -3x2 + 3x2 = 0 -3 + 2k + 2kx + 3x2 = 0 The solution to this equation could not be determined.
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