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