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Simplifying 0 = (4x2 + -1x + 5)(-5 + -8x) Reorder the terms: 0 = (5 + -1x + 4x2)(-5 + -8x) Multiply (5 + -1x + 4x2) * (-5 + -8x) 0 = (5(-5 + -8x) + -1x * (-5 + -8x) + 4x2 * (-5 + -8x)) 0 = ((-5 * 5 + -8x * 5) + -1x * (-5 + -8x) + 4x2 * (-5 + -8x)) 0 = ((-25 + -40x) + -1x * (-5 + -8x) + 4x2 * (-5 + -8x)) 0 = (-25 + -40x + (-5 * -1x + -8x * -1x) + 4x2 * (-5 + -8x)) 0 = (-25 + -40x + (5x + 8x2) + 4x2 * (-5 + -8x)) 0 = (-25 + -40x + 5x + 8x2 + (-5 * 4x2 + -8x * 4x2)) 0 = (-25 + -40x + 5x + 8x2 + (-20x2 + -32x3)) Combine like terms: -40x + 5x = -35x 0 = (-25 + -35x + 8x2 + -20x2 + -32x3) Combine like terms: 8x2 + -20x2 = -12x2 0 = (-25 + -35x + -12x2 + -32x3) Solving 0 = -25 + -35x + -12x2 + -32x3 Solving for variable 'x'. Combine like terms: 0 + 25 = 25 25 + 35x + 12x2 + 32x3 = -25 + -35x + -12x2 + -32x3 + 25 + 35x + 12x2 + 32x3 Reorder the terms: 25 + 35x + 12x2 + 32x3 = -25 + 25 + -35x + 35x + -12x2 + 12x2 + -32x3 + 32x3 Combine like terms: -25 + 25 = 0 25 + 35x + 12x2 + 32x3 = 0 + -35x + 35x + -12x2 + 12x2 + -32x3 + 32x3 25 + 35x + 12x2 + 32x3 = -35x + 35x + -12x2 + 12x2 + -32x3 + 32x3 Combine like terms: -35x + 35x = 0 25 + 35x + 12x2 + 32x3 = 0 + -12x2 + 12x2 + -32x3 + 32x3 25 + 35x + 12x2 + 32x3 = -12x2 + 12x2 + -32x3 + 32x3 Combine like terms: -12x2 + 12x2 = 0 25 + 35x + 12x2 + 32x3 = 0 + -32x3 + 32x3 25 + 35x + 12x2 + 32x3 = -32x3 + 32x3 Combine like terms: -32x3 + 32x3 = 0 25 + 35x + 12x2 + 32x3 = 0 The solution to this equation could not be determined.
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