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Simplifying 4.5 = (x + 1)(x + -3)(x + -0.5) Reorder the terms: 4.5 = (1 + x)(x + -3)(x + -0.5) Reorder the terms: 4.5 = (1 + x)(-3 + x)(x + -0.5) Reorder the terms: 4.5 = (1 + x)(-3 + x)(-0.5 + x) Multiply (1 + x) * (-3 + x) 4.5 = (1(-3 + x) + x(-3 + x))(-0.5 + x) 4.5 = ((-3 * 1 + x * 1) + x(-3 + x))(-0.5 + x) 4.5 = ((-3 + 1x) + x(-3 + x))(-0.5 + x) 4.5 = (-3 + 1x + (-3 * x + x * x))(-0.5 + x) 4.5 = (-3 + 1x + (-3x + x2))(-0.5 + x) Combine like terms: 1x + -3x = -2x 4.5 = (-3 + -2x + x2)(-0.5 + x) Multiply (-3 + -2x + x2) * (-0.5 + x) 4.5 = (-3(-0.5 + x) + -2x * (-0.5 + x) + x2(-0.5 + x)) 4.5 = ((-0.5 * -3 + x * -3) + -2x * (-0.5 + x) + x2(-0.5 + x)) 4.5 = ((1.5 + -3x) + -2x * (-0.5 + x) + x2(-0.5 + x)) 4.5 = (1.5 + -3x + (-0.5 * -2x + x * -2x) + x2(-0.5 + x)) 4.5 = (1.5 + -3x + (1x + -2x2) + x2(-0.5 + x)) 4.5 = (1.5 + -3x + 1x + -2x2 + (-0.5 * x2 + x * x2)) 4.5 = (1.5 + -3x + 1x + -2x2 + (-0.5x2 + x3)) Combine like terms: -3x + 1x = -2x 4.5 = (1.5 + -2x + -2x2 + -0.5x2 + x3) Combine like terms: -2x2 + -0.5x2 = -2.5x2 4.5 = (1.5 + -2x + -2.5x2 + x3) Solving 4.5 = 1.5 + -2x + -2.5x2 + x3 Solving for variable 'x'. Combine like terms: 4.5 + -1.5 = 3 3 + 2x + 2.5x2 + -1x3 = 1.5 + -2x + -2.5x2 + x3 + -1.5 + 2x + 2.5x2 + -1x3 Reorder the terms: 3 + 2x + 2.5x2 + -1x3 = 1.5 + -1.5 + -2x + 2x + -2.5x2 + 2.5x2 + x3 + -1x3 Combine like terms: 1.5 + -1.5 = 0.0 3 + 2x + 2.5x2 + -1x3 = 0.0 + -2x + 2x + -2.5x2 + 2.5x2 + x3 + -1x3 3 + 2x + 2.5x2 + -1x3 = -2x + 2x + -2.5x2 + 2.5x2 + x3 + -1x3 Combine like terms: -2x + 2x = 0 3 + 2x + 2.5x2 + -1x3 = 0 + -2.5x2 + 2.5x2 + x3 + -1x3 3 + 2x + 2.5x2 + -1x3 = -2.5x2 + 2.5x2 + x3 + -1x3 Combine like terms: -2.5x2 + 2.5x2 = 0.0 3 + 2x + 2.5x2 + -1x3 = 0.0 + x3 + -1x3 3 + 2x + 2.5x2 + -1x3 = x3 + -1x3 Combine like terms: x3 + -1x3 = 0 3 + 2x + 2.5x2 + -1x3 = 0 The solution to this equation could not be determined.
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