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