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Simplifying 3x2 + (k + 2) * x = 1 + -1k Reorder the terms: 3x2 + (2 + k) * x = 1 + -1k Reorder the terms for easier multiplication: 3x2 + x(2 + k) = 1 + -1k 3x2 + (2 * x + k * x) = 1 + -1k Reorder the terms: 3x2 + (kx + 2x) = 1 + -1k 3x2 + (kx + 2x) = 1 + -1k Reorder the terms: kx + 2x + 3x2 = 1 + -1k Solving kx + 2x + 3x2 = 1 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. kx + 2x + k + 3x2 = 1 + -1k + k Reorder the terms: k + kx + 2x + 3x2 = 1 + -1k + k Combine like terms: -1k + k = 0 k + kx + 2x + 3x2 = 1 + 0 k + kx + 2x + 3x2 = 1 Add '-2x' to each side of the equation. k + kx + 2x + -2x + 3x2 = 1 + -2x Combine like terms: 2x + -2x = 0 k + kx + 0 + 3x2 = 1 + -2x k + kx + 3x2 = 1 + -2x Add '-3x2' to each side of the equation. k + kx + 3x2 + -3x2 = 1 + -2x + -3x2 Combine like terms: 3x2 + -3x2 = 0 k + kx + 0 = 1 + -2x + -3x2 k + kx = 1 + -2x + -3x2 Reorder the terms: -1 + k + kx + 2x + 3x2 = 1 + -2x + -3x2 + -1 + 2x + 3x2 Reorder the terms: -1 + k + kx + 2x + 3x2 = 1 + -1 + -2x + 2x + -3x2 + 3x2 Combine like terms: 1 + -1 = 0 -1 + k + kx + 2x + 3x2 = 0 + -2x + 2x + -3x2 + 3x2 -1 + k + kx + 2x + 3x2 = -2x + 2x + -3x2 + 3x2 Combine like terms: -2x + 2x = 0 -1 + k + kx + 2x + 3x2 = 0 + -3x2 + 3x2 -1 + k + kx + 2x + 3x2 = -3x2 + 3x2 Combine like terms: -3x2 + 3x2 = 0 -1 + k + kx + 2x + 3x2 = 0 The solution to this equation could not be determined.
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