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Simplifying (k + 2) * x2 + 5x + 5k = 0 Reorder the terms: (2 + k) * x2 + 5x + 5k = 0 Reorder the terms for easier multiplication: x2(2 + k) + 5x + 5k = 0 (2 * x2 + k * x2) + 5x + 5k = 0 Reorder the terms: (kx2 + 2x2) + 5x + 5k = 0 (kx2 + 2x2) + 5x + 5k = 0 Reorder the terms: 5k + kx2 + 5x + 2x2 = 0 Solving 5k + kx2 + 5x + 2x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5x' to each side of the equation. 5k + kx2 + 5x + -5x + 2x2 = 0 + -5x Combine like terms: 5x + -5x = 0 5k + kx2 + 0 + 2x2 = 0 + -5x 5k + kx2 + 2x2 = 0 + -5x Remove the zero: 5k + kx2 + 2x2 = -5x Add '-2x2' to each side of the equation. 5k + kx2 + 2x2 + -2x2 = -5x + -2x2 Combine like terms: 2x2 + -2x2 = 0 5k + kx2 + 0 = -5x + -2x2 5k + kx2 = -5x + -2x2 Reorder the terms: 5k + kx2 + 5x + 2x2 = -5x + 5x + -2x2 + 2x2 Combine like terms: -5x + 5x = 0 5k + kx2 + 5x + 2x2 = 0 + -2x2 + 2x2 5k + kx2 + 5x + 2x2 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 5k + kx2 + 5x + 2x2 = 0 The solution to this equation could not be determined.
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