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Simplifying x * x + (k + 3) * x + 4k = 0 Multiply x * x x2 + (k + 3) * x + 4k = 0 Reorder the terms: x2 + (3 + k) * x + 4k = 0 Reorder the terms for easier multiplication: x2 + x(3 + k) + 4k = 0 x2 + (3 * x + k * x) + 4k = 0 Reorder the terms: x2 + (kx + 3x) + 4k = 0 x2 + (kx + 3x) + 4k = 0 Reorder the terms: 4k + kx + 3x + x2 = 0 Solving 4k + kx + 3x + x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3x' to each side of the equation. 4k + kx + 3x + -3x + x2 = 0 + -3x Combine like terms: 3x + -3x = 0 4k + kx + 0 + x2 = 0 + -3x 4k + kx + x2 = 0 + -3x Remove the zero: 4k + kx + x2 = -3x Add '-1x2' to each side of the equation. 4k + kx + x2 + -1x2 = -3x + -1x2 Combine like terms: x2 + -1x2 = 0 4k + kx + 0 = -3x + -1x2 4k + kx = -3x + -1x2 Reorder the terms: 4k + kx + 3x + x2 = -3x + 3x + -1x2 + x2 Combine like terms: -3x + 3x = 0 4k + kx + 3x + x2 = 0 + -1x2 + x2 4k + kx + 3x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 4k + kx + 3x + x2 = 0 The solution to this equation could not be determined.
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