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Simplifying (k + 3) * x2 + 6x + k = 5 Reorder the terms: (3 + k) * x2 + 6x + k = 5 Reorder the terms for easier multiplication: x2(3 + k) + 6x + k = 5 (3 * x2 + k * x2) + 6x + k = 5 Reorder the terms: (kx2 + 3x2) + 6x + k = 5 (kx2 + 3x2) + 6x + k = 5 Reorder the terms: k + kx2 + 6x + 3x2 = 5 Solving k + kx2 + 6x + 3x2 = 5 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6x' to each side of the equation. k + kx2 + 6x + -6x + 3x2 = 5 + -6x Combine like terms: 6x + -6x = 0 k + kx2 + 0 + 3x2 = 5 + -6x k + kx2 + 3x2 = 5 + -6x Add '-3x2' to each side of the equation. k + kx2 + 3x2 + -3x2 = 5 + -6x + -3x2 Combine like terms: 3x2 + -3x2 = 0 k + kx2 + 0 = 5 + -6x + -3x2 k + kx2 = 5 + -6x + -3x2 Reorder the terms: -5 + k + kx2 + 6x + 3x2 = 5 + -6x + -3x2 + -5 + 6x + 3x2 Reorder the terms: -5 + k + kx2 + 6x + 3x2 = 5 + -5 + -6x + 6x + -3x2 + 3x2 Combine like terms: 5 + -5 = 0 -5 + k + kx2 + 6x + 3x2 = 0 + -6x + 6x + -3x2 + 3x2 -5 + k + kx2 + 6x + 3x2 = -6x + 6x + -3x2 + 3x2 Combine like terms: -6x + 6x = 0 -5 + k + kx2 + 6x + 3x2 = 0 + -3x2 + 3x2 -5 + k + kx2 + 6x + 3x2 = -3x2 + 3x2 Combine like terms: -3x2 + 3x2 = 0 -5 + k + kx2 + 6x + 3x2 = 0 The solution to this equation could not be determined.
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