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Simplifying 0 = (5x2 + -2x + 2)(-1 + -4x) Reorder the terms: 0 = (2 + -2x + 5x2)(-1 + -4x) Multiply (2 + -2x + 5x2) * (-1 + -4x) 0 = (2(-1 + -4x) + -2x * (-1 + -4x) + 5x2 * (-1 + -4x)) 0 = ((-1 * 2 + -4x * 2) + -2x * (-1 + -4x) + 5x2 * (-1 + -4x)) 0 = ((-2 + -8x) + -2x * (-1 + -4x) + 5x2 * (-1 + -4x)) 0 = (-2 + -8x + (-1 * -2x + -4x * -2x) + 5x2 * (-1 + -4x)) 0 = (-2 + -8x + (2x + 8x2) + 5x2 * (-1 + -4x)) 0 = (-2 + -8x + 2x + 8x2 + (-1 * 5x2 + -4x * 5x2)) 0 = (-2 + -8x + 2x + 8x2 + (-5x2 + -20x3)) Combine like terms: -8x + 2x = -6x 0 = (-2 + -6x + 8x2 + -5x2 + -20x3) Combine like terms: 8x2 + -5x2 = 3x2 0 = (-2 + -6x + 3x2 + -20x3) Solving 0 = -2 + -6x + 3x2 + -20x3 Solving for variable 'x'. Combine like terms: 0 + 2 = 2 2 + 6x + -3x2 + 20x3 = -2 + -6x + 3x2 + -20x3 + 2 + 6x + -3x2 + 20x3 Reorder the terms: 2 + 6x + -3x2 + 20x3 = -2 + 2 + -6x + 6x + 3x2 + -3x2 + -20x3 + 20x3 Combine like terms: -2 + 2 = 0 2 + 6x + -3x2 + 20x3 = 0 + -6x + 6x + 3x2 + -3x2 + -20x3 + 20x3 2 + 6x + -3x2 + 20x3 = -6x + 6x + 3x2 + -3x2 + -20x3 + 20x3 Combine like terms: -6x + 6x = 0 2 + 6x + -3x2 + 20x3 = 0 + 3x2 + -3x2 + -20x3 + 20x3 2 + 6x + -3x2 + 20x3 = 3x2 + -3x2 + -20x3 + 20x3 Combine like terms: 3x2 + -3x2 = 0 2 + 6x + -3x2 + 20x3 = 0 + -20x3 + 20x3 2 + 6x + -3x2 + 20x3 = -20x3 + 20x3 Combine like terms: -20x3 + 20x3 = 0 2 + 6x + -3x2 + 20x3 = 0 The solution to this equation could not be determined.
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