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Simplifying 0 = (x + -0.75)(x + -0.75)(x + 2.05) Reorder the terms: 0 = (-0.75 + x)(x + -0.75)(x + 2.05) Reorder the terms: 0 = (-0.75 + x)(-0.75 + x)(x + 2.05) Reorder the terms: 0 = (-0.75 + x)(-0.75 + x)(2.05 + x) Multiply (-0.75 + x) * (-0.75 + x) 0 = (-0.75(-0.75 + x) + x(-0.75 + x))(2.05 + x) 0 = ((-0.75 * -0.75 + x * -0.75) + x(-0.75 + x))(2.05 + x) 0 = ((0.5625 + -0.75x) + x(-0.75 + x))(2.05 + x) 0 = (0.5625 + -0.75x + (-0.75 * x + x * x))(2.05 + x) 0 = (0.5625 + -0.75x + (-0.75x + x2))(2.05 + x) Combine like terms: -0.75x + -0.75x = -1.5x 0 = (0.5625 + -1.5x + x2)(2.05 + x) Multiply (0.5625 + -1.5x + x2) * (2.05 + x) 0 = (0.5625(2.05 + x) + -1.5x * (2.05 + x) + x2(2.05 + x)) 0 = ((2.05 * 0.5625 + x * 0.5625) + -1.5x * (2.05 + x) + x2(2.05 + x)) 0 = ((1.153125 + 0.5625x) + -1.5x * (2.05 + x) + x2(2.05 + x)) 0 = (1.153125 + 0.5625x + (2.05 * -1.5x + x * -1.5x) + x2(2.05 + x)) 0 = (1.153125 + 0.5625x + (-3.075x + -1.5x2) + x2(2.05 + x)) 0 = (1.153125 + 0.5625x + -3.075x + -1.5x2 + (2.05 * x2 + x * x2)) 0 = (1.153125 + 0.5625x + -3.075x + -1.5x2 + (2.05x2 + x3)) Combine like terms: 0.5625x + -3.075x = -2.5125x 0 = (1.153125 + -2.5125x + -1.5x2 + 2.05x2 + x3) Combine like terms: -1.5x2 + 2.05x2 = 0.55x2 0 = (1.153125 + -2.5125x + 0.55x2 + x3) Solving 0 = 1.153125 + -2.5125x + 0.55x2 + x3 Solving for variable 'x'. Combine like terms: 0 + -1.153125 = -1.153125 -1.153125 + 2.5125x + -0.55x2 + -1x3 = 1.153125 + -2.5125x + 0.55x2 + x3 + -1.153125 + 2.5125x + -0.55x2 + -1x3 Reorder the terms: -1.153125 + 2.5125x + -0.55x2 + -1x3 = 1.153125 + -1.153125 + -2.5125x + 2.5125x + 0.55x2 + -0.55x2 + x3 + -1x3 Combine like terms: 1.153125 + -1.153125 = 0.000000 -1.153125 + 2.5125x + -0.55x2 + -1x3 = 0.000000 + -2.5125x + 2.5125x + 0.55x2 + -0.55x2 + x3 + -1x3 -1.153125 + 2.5125x + -0.55x2 + -1x3 = -2.5125x + 2.5125x + 0.55x2 + -0.55x2 + x3 + -1x3 Combine like terms: -2.5125x + 2.5125x = 0.0000 -1.153125 + 2.5125x + -0.55x2 + -1x3 = 0.0000 + 0.55x2 + -0.55x2 + x3 + -1x3 -1.153125 + 2.5125x + -0.55x2 + -1x3 = 0.55x2 + -0.55x2 + x3 + -1x3 Combine like terms: 0.55x2 + -0.55x2 = 0.00 -1.153125 + 2.5125x + -0.55x2 + -1x3 = 0.00 + x3 + -1x3 -1.153125 + 2.5125x + -0.55x2 + -1x3 = x3 + -1x3 Combine like terms: x3 + -1x3 = 0 -1.153125 + 2.5125x + -0.55x2 + -1x3 = 0 The solution to this equation could not be determined.
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