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Simplifying 6x2 + (2k + -3) * x + -1k = 0 Reorder the terms: 6x2 + (-3 + 2k) * x + -1k = 0 Reorder the terms for easier multiplication: 6x2 + x(-3 + 2k) + -1k = 0 6x2 + (-3 * x + 2k * x) + -1k = 0 Reorder the terms: 6x2 + (2kx + -3x) + -1k = 0 6x2 + (2kx + -3x) + -1k = 0 Reorder the terms: -1k + 2kx + -3x + 6x2 = 0 Solving -1k + 2kx + -3x + 6x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3x' to each side of the equation. -1k + 2kx + -3x + 3x + 6x2 = 0 + 3x Combine like terms: -3x + 3x = 0 -1k + 2kx + 0 + 6x2 = 0 + 3x -1k + 2kx + 6x2 = 0 + 3x Remove the zero: -1k + 2kx + 6x2 = 3x Add '-6x2' to each side of the equation. -1k + 2kx + 6x2 + -6x2 = 3x + -6x2 Combine like terms: 6x2 + -6x2 = 0 -1k + 2kx + 0 = 3x + -6x2 -1k + 2kx = 3x + -6x2 Reorder the terms: -1k + 2kx + -3x + 6x2 = 3x + -3x + -6x2 + 6x2 Combine like terms: 3x + -3x = 0 -1k + 2kx + -3x + 6x2 = 0 + -6x2 + 6x2 -1k + 2kx + -3x + 6x2 = -6x2 + 6x2 Combine like terms: -6x2 + 6x2 = 0 -1k + 2kx + -3x + 6x2 = 0 The solution to this equation could not be determined.
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