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Simplifying 0 = (x + 2)(2x2 + 2.5x + 3) Reorder the terms: 0 = (2 + x)(2x2 + 2.5x + 3) Reorder the terms: 0 = (2 + x)(3 + 2.5x + 2x2) Multiply (2 + x) * (3 + 2.5x + 2x2) 0 = (2(3 + 2.5x + 2x2) + x(3 + 2.5x + 2x2)) 0 = ((3 * 2 + 2.5x * 2 + 2x2 * 2) + x(3 + 2.5x + 2x2)) 0 = ((6 + 5x + 4x2) + x(3 + 2.5x + 2x2)) 0 = (6 + 5x + 4x2 + (3 * x + 2.5x * x + 2x2 * x)) 0 = (6 + 5x + 4x2 + (3x + 2.5x2 + 2x3)) Reorder the terms: 0 = (6 + 5x + 3x + 4x2 + 2.5x2 + 2x3) Combine like terms: 5x + 3x = 8x 0 = (6 + 8x + 4x2 + 2.5x2 + 2x3) Combine like terms: 4x2 + 2.5x2 = 6.5x2 0 = (6 + 8x + 6.5x2 + 2x3) Solving 0 = 6 + 8x + 6.5x2 + 2x3 Solving for variable 'x'. Combine like terms: 0 + -6 = -6 -6 + -8x + -6.5x2 + -2x3 = 6 + 8x + 6.5x2 + 2x3 + -6 + -8x + -6.5x2 + -2x3 Reorder the terms: -6 + -8x + -6.5x2 + -2x3 = 6 + -6 + 8x + -8x + 6.5x2 + -6.5x2 + 2x3 + -2x3 Combine like terms: 6 + -6 = 0 -6 + -8x + -6.5x2 + -2x3 = 0 + 8x + -8x + 6.5x2 + -6.5x2 + 2x3 + -2x3 -6 + -8x + -6.5x2 + -2x3 = 8x + -8x + 6.5x2 + -6.5x2 + 2x3 + -2x3 Combine like terms: 8x + -8x = 0 -6 + -8x + -6.5x2 + -2x3 = 0 + 6.5x2 + -6.5x2 + 2x3 + -2x3 -6 + -8x + -6.5x2 + -2x3 = 6.5x2 + -6.5x2 + 2x3 + -2x3 Combine like terms: 6.5x2 + -6.5x2 = 0.0 -6 + -8x + -6.5x2 + -2x3 = 0.0 + 2x3 + -2x3 -6 + -8x + -6.5x2 + -2x3 = 2x3 + -2x3 Combine like terms: 2x3 + -2x3 = 0 -6 + -8x + -6.5x2 + -2x3 = 0 The solution to this equation could not be determined.
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