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Simplifying 0 = (4x + 5)(x2 + -2x + 2) Reorder the terms: 0 = (5 + 4x)(x2 + -2x + 2) Reorder the terms: 0 = (5 + 4x)(2 + -2x + x2) Multiply (5 + 4x) * (2 + -2x + x2) 0 = (5(2 + -2x + x2) + 4x * (2 + -2x + x2)) 0 = ((2 * 5 + -2x * 5 + x2 * 5) + 4x * (2 + -2x + x2)) 0 = ((10 + -10x + 5x2) + 4x * (2 + -2x + x2)) 0 = (10 + -10x + 5x2 + (2 * 4x + -2x * 4x + x2 * 4x)) 0 = (10 + -10x + 5x2 + (8x + -8x2 + 4x3)) Reorder the terms: 0 = (10 + -10x + 8x + 5x2 + -8x2 + 4x3) Combine like terms: -10x + 8x = -2x 0 = (10 + -2x + 5x2 + -8x2 + 4x3) Combine like terms: 5x2 + -8x2 = -3x2 0 = (10 + -2x + -3x2 + 4x3) Solving 0 = 10 + -2x + -3x2 + 4x3 Solving for variable 'x'. Combine like terms: 0 + -10 = -10 -10 + 2x + 3x2 + -4x3 = 10 + -2x + -3x2 + 4x3 + -10 + 2x + 3x2 + -4x3 Reorder the terms: -10 + 2x + 3x2 + -4x3 = 10 + -10 + -2x + 2x + -3x2 + 3x2 + 4x3 + -4x3 Combine like terms: 10 + -10 = 0 -10 + 2x + 3x2 + -4x3 = 0 + -2x + 2x + -3x2 + 3x2 + 4x3 + -4x3 -10 + 2x + 3x2 + -4x3 = -2x + 2x + -3x2 + 3x2 + 4x3 + -4x3 Combine like terms: -2x + 2x = 0 -10 + 2x + 3x2 + -4x3 = 0 + -3x2 + 3x2 + 4x3 + -4x3 -10 + 2x + 3x2 + -4x3 = -3x2 + 3x2 + 4x3 + -4x3 Combine like terms: -3x2 + 3x2 = 0 -10 + 2x + 3x2 + -4x3 = 0 + 4x3 + -4x3 -10 + 2x + 3x2 + -4x3 = 4x3 + -4x3 Combine like terms: 4x3 + -4x3 = 0 -10 + 2x + 3x2 + -4x3 = 0 The solution to this equation could not be determined.
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