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Simplifying 2x2 + kx + -1k + 6x = 0 Reorder the terms: -1k + kx + 6x + 2x2 = 0 Solving -1k + kx + 6x + 2x2 = 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. -1k + kx + 6x + -6x + 2x2 = 0 + -6x Combine like terms: 6x + -6x = 0 -1k + kx + 0 + 2x2 = 0 + -6x -1k + kx + 2x2 = 0 + -6x Remove the zero: -1k + kx + 2x2 = -6x Add '-2x2' to each side of the equation. -1k + kx + 2x2 + -2x2 = -6x + -2x2 Combine like terms: 2x2 + -2x2 = 0 -1k + kx + 0 = -6x + -2x2 -1k + kx = -6x + -2x2 Reorder the terms: -1k + kx + 6x + 2x2 = -6x + 6x + -2x2 + 2x2 Combine like terms: -6x + 6x = 0 -1k + kx + 6x + 2x2 = 0 + -2x2 + 2x2 -1k + kx + 6x + 2x2 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 -1k + kx + 6x + 2x2 = 0 The solution to this equation could not be determined.
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