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Simplifying 9x2 + (k + -6) * x + -2k = 0 Reorder the terms: 9x2 + (-6 + k) * x + -2k = 0 Reorder the terms for easier multiplication: 9x2 + x(-6 + k) + -2k = 0 9x2 + (-6 * x + k * x) + -2k = 0 Reorder the terms: 9x2 + (kx + -6x) + -2k = 0 9x2 + (kx + -6x) + -2k = 0 Reorder the terms: -2k + kx + -6x + 9x2 = 0 Solving -2k + kx + -6x + 9x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6x' to each side of the equation. -2k + kx + -6x + 6x + 9x2 = 0 + 6x Combine like terms: -6x + 6x = 0 -2k + kx + 0 + 9x2 = 0 + 6x -2k + kx + 9x2 = 0 + 6x Remove the zero: -2k + kx + 9x2 = 6x Add '-9x2' to each side of the equation. -2k + kx + 9x2 + -9x2 = 6x + -9x2 Combine like terms: 9x2 + -9x2 = 0 -2k + kx + 0 = 6x + -9x2 -2k + kx = 6x + -9x2 Reorder the terms: -2k + kx + -6x + 9x2 = 6x + -6x + -9x2 + 9x2 Combine like terms: 6x + -6x = 0 -2k + kx + -6x + 9x2 = 0 + -9x2 + 9x2 -2k + kx + -6x + 9x2 = -9x2 + 9x2 Combine like terms: -9x2 + 9x2 = 0 -2k + kx + -6x + 9x2 = 0 The solution to this equation could not be determined.
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