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