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Simplifying 9x2 + (8 + k) * x + k = 0 Reorder the terms for easier multiplication: 9x2 + x(8 + k) + k = 0 9x2 + (8 * x + k * x) + k = 0 Reorder the terms: 9x2 + (kx + 8x) + k = 0 9x2 + (kx + 8x) + k = 0 Reorder the terms: k + kx + 8x + 9x2 = 0 Solving k + kx + 8x + 9x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8x' to each side of the equation. k + kx + 8x + -8x + 9x2 = 0 + -8x Combine like terms: 8x + -8x = 0 k + kx + 0 + 9x2 = 0 + -8x k + kx + 9x2 = 0 + -8x Remove the zero: k + kx + 9x2 = -8x Add '-9x2' to each side of the equation. k + kx + 9x2 + -9x2 = -8x + -9x2 Combine like terms: 9x2 + -9x2 = 0 k + kx + 0 = -8x + -9x2 k + kx = -8x + -9x2 Reorder the terms: k + kx + 8x + 9x2 = -8x + 8x + -9x2 + 9x2 Combine like terms: -8x + 8x = 0 k + kx + 8x + 9x2 = 0 + -9x2 + 9x2 k + kx + 8x + 9x2 = -9x2 + 9x2 Combine like terms: -9x2 + 9x2 = 0 k + kx + 8x + 9x2 = 0 The solution to this equation could not be determined.
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