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Simplifying abs(6x2 + -5x + 1) = 5x + -6x2 + -1 Reorder the terms: abs(1 + -5x + 6x2) = 5x + -6x2 + -1 (1 * abs + -5x * abs + 6x2 * abs) = 5x + -6x2 + -1 (1abs + -5absx + 6absx2) = 5x + -6x2 + -1 Reorder the terms: 1abs + -5absx + 6absx2 = -1 + 5x + -6x2 Solving 1abs + -5absx + 6absx2 = -1 + 5x + -6x2 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Reorder the terms: 1 + 1abs + -5absx + 6absx2 + -5x + 6x2 = -1 + 5x + -6x2 + 1 + -5x + 6x2 Reorder the terms: 1 + 1abs + -5absx + 6absx2 + -5x + 6x2 = -1 + 1 + 5x + -5x + -6x2 + 6x2 Combine like terms: -1 + 1 = 0 1 + 1abs + -5absx + 6absx2 + -5x + 6x2 = 0 + 5x + -5x + -6x2 + 6x2 1 + 1abs + -5absx + 6absx2 + -5x + 6x2 = 5x + -5x + -6x2 + 6x2 Combine like terms: 5x + -5x = 0 1 + 1abs + -5absx + 6absx2 + -5x + 6x2 = 0 + -6x2 + 6x2 1 + 1abs + -5absx + 6absx2 + -5x + 6x2 = -6x2 + 6x2 Combine like terms: -6x2 + 6x2 = 0 1 + 1abs + -5absx + 6absx2 + -5x + 6x2 = 0 The solution to this equation could not be determined.
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