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Simplifying (k + -3) * x2 + 2kx + k + 3 = 0 Reorder the terms: (-3 + k) * x2 + 2kx + k + 3 = 0 Reorder the terms for easier multiplication: x2(-3 + k) + 2kx + k + 3 = 0 (-3 * x2 + k * x2) + 2kx + k + 3 = 0 Reorder the terms: (kx2 + -3x2) + 2kx + k + 3 = 0 (kx2 + -3x2) + 2kx + k + 3 = 0 Reorder the terms: 3 + k + 2kx + kx2 + -3x2 = 0 Solving 3 + k + 2kx + kx2 + -3x2 = 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 + k + 2kx + kx2 + -3 + -3x2 = 0 + -3 Reorder the terms: 3 + -3 + k + 2kx + kx2 + -3x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + k + 2kx + kx2 + -3x2 = 0 + -3 k + 2kx + kx2 + -3x2 = 0 + -3 Combine like terms: 0 + -3 = -3 k + 2kx + kx2 + -3x2 = -3 Add '3x2' to each side of the equation. k + 2kx + kx2 + -3x2 + 3x2 = -3 + 3x2 Combine like terms: -3x2 + 3x2 = 0 k + 2kx + kx2 + 0 = -3 + 3x2 k + 2kx + kx2 = -3 + 3x2 Reorder the terms: 3 + k + 2kx + kx2 + -3x2 = -3 + 3x2 + 3 + -3x2 Reorder the terms: 3 + k + 2kx + kx2 + -3x2 = -3 + 3 + 3x2 + -3x2 Combine like terms: -3 + 3 = 0 3 + k + 2kx + kx2 + -3x2 = 0 + 3x2 + -3x2 3 + k + 2kx + kx2 + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 3 + k + 2kx + kx2 + -3x2 = 0 The solution to this equation could not be determined.
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