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