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