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Simplifying 0 = ((0.8 + -1x)((1.2 + -1x)(1 + -1x) + -1(0.1 * -0.1))) + -1(0.1(-0.1(1 + -1x) + -1(-0.1 * -0.1))) + (0.1(-0.1 * 0.1) + -1(-0.1(1.2 + -1x))) Multiply (1.2 + -1x) * (1 + -1x) 0 = ((0.8 + -1x)((1.2(1 + -1x) + -1x * (1 + -1x)) + -1(0.1 * -0.1))) + -1(0.1(-0.1(1 + -1x) + -1(-0.1 * -0.1))) + (0.1(-0.1 * 0.1) + -1(-0.1(1.2 + -1x))) 0 = ((0.8 + -1x)(((1 * 1.2 + -1x * 1.2) + -1x * (1 + -1x)) + -1(0.1 * -0.1))) + -1(0.1(-0.1(1 + -1x) + -1(-0.1 * -0.1))) + (0.1(-0.1 * 0.1) + -1(-0.1(1.2 + -1x))) 0 = ((0.8 + -1x)(((1.2 + -1.2x) + -1x * (1 + -1x)) + -1(0.1 * -0.1))) + -1(0.1(-0.1(1 + -1x) + -1(-0.1 * -0.1))) + (0.1(-0.1 * 0.1) + -1(-0.1(1.2 + -1x))) 0 = ((0.8 + -1x)((1.2 + -1.2x + (1 * -1x + -1x * -1x)) + -1(0.1 * -0.1))) + -1(0.1(-0.1(1 + -1x) + -1(-0.1 * -0.1))) + (0.1(-0.1 * 0.1) + -1(-0.1(1.2 + -1x))) 0 = ((0.8 + -1x)((1.2 + -1.2x + (-1x + 1x2)) + -1(0.1 * -0.1))) + -1(0.1(-0.1(1 + -1x) + -1(-0.1 * -0.1))) + (0.1(-0.1 * 0.1) + -1(-0.1(1.2 + -1x))) Combine like terms: -1.2x + -1x = -2.2x 0 = ((0.8 + -1x)((1.2 + -2.2x + 1x2) + -1(0.1 * -0.1))) + -1(0.1(-0.1(1 + -1x) + -1(-0.1 * -0.1))) + (0.1(-0.1 * 0.1) + -1(-0.1(1.2 + -1x))) Multiply 0.1 * -0.1 0 = ((0.8 + -1x)(1.2 + -2.2x + 1x2 + -1(-0.01))) + -1(0.1(-0.1(1 + -1x) + -1(-0.1 * -0.1))) + (0.1(-0.1 * 0.1) + -1(-0.1(1.2 + -1x))) Multiply -1 * -0.01 0 = ((0.8 + -1x)(1.2 + -2.2x + 1x2 + 0.01)) + -1(0.1(-0.1(1 + -1x) + -1(-0.1 * -0.1))) + (0.1(-0.1 * 0.1) + -1(-0.1(1.2 + -1x))) Reorder the terms: 0 = ((0.8 + -1x)(1.2 + 0.01 + -2.2x + 1x2)) + -1(0.1(-0.1(1 + -1x) + -1(-0.1 * -0.1))) + (0.1(-0.1 * 0.1) + -1(-0.1(1.2 + -1x))) Combine like terms: 1.2 + 0.01 = 1.21 0 = ((0.8 + -1x)(1.21 + -2.2x + 1x2)) + -1(0.1(-0.1(1 + -1x) + -1(-0.1 * -0.1))) + (0.1(-0.1 * 0.1) + -1(-0.1(1.2 + -1x))) Multiply (0.8 + -1x) * (1.21 + -2.2x + 1x2) 0 = ((0.8(1.21 + -2.2x + 1x2) + -1x * (1.21 + -2.2x + 1x2))) + -1(0.1(-0.1(1 + -1x) + -1(-0.1 * -0.1))) + (0.1(-0.1 * 0.1) + -1(-0.1(1.2 + -1x))) 0 = (((1.21 * 0.8 + -2.2x * 0.8 + 1x2 * 0.8) + -1x * (1.21 + -2.2x + 1x2))) + -1(0.1(-0.1(1 + -1x) + -1(-0.1 * -0.1))) + (0.1(-0.1 * 0.1) + -1(-0.1(1.2 + -1x))) 0 = (((0.968 + -1.76x + 0.8x2) + -1x * (1.21 + -2.2x + 1x2))) + -1(0.1(-0.1(1 + -1x) + -1(-0.1 * -0.1))) + (0.1(-0.1 * 0.1) + -1(-0.1(1.2 + -1x))) 0 = ((0.968 + -1.76x + 0.8x2 + (1.21 * -1x + -2.2x * -1x + 1x2 * -1x))) + -1(0.1(-0.1(1 + -1x) + -1(-0.1 * -0.1))) + (0.1(-0.1 * 0.1) + -1(-0.1(1.2 + -1x))) 0 = ((0.968 + -1.76x + 0.8x2 + (-1.21x + 2.2x2 + -1x3))) + -1(0.1(-0.1(1 + -1x) + -1(-0.1 * -0.1))) + (0.1(-0.1 * 0.1) + -1(-0.1(1.2 + -1x))) Reorder the terms: 0 = ((0.968 + -1.76x + -1.21x + 0.8x2 + 2.2x2 + -1x3)) + -1(0.1(-0.1(1 + -1x) + -1(-0.1 * -0.1))) + (0.1(-0.1 * 0.1) + -1(-0.1(1.2 + -1x))) Combine like terms: -1.76x + -1.21x = -2.97x 0 = ((0.968 + -2.97x + 0.8x2 + 2.2x2 + -1x3)) + -1(0.1(-0.1(1 + -1x) + -1(-0.1 * -0.1))) + (0.1(-0.1 * 0.1) + -1(-0.1(1.2 + -1x))) Combine like terms: 0.8x2 + 2.2x2 = 3x2 0 = ((0.968 + -2.97x + 3x2 + -1x3)) + -1(0.1(-0.1(1 + -1x) + -1(-0.1 * -0.1))) + (0.1(-0.1 * 0.1) + -1(-0.1(1.2 + -1x))) 0 = (0.968 + -2.97x + 3x2 + -1x3) + -1(0.1(-0.1(1 + -1x) + -1(-0.1 * -0.1))) + (0.1(-0.1 * 0.1) + -1(-0.1(1.2 + -1x))) Remove parenthesis around (0.968 + -2.97x + 3x2 + -1x3) 0 = 0.968 + -2.97x + 3x2 + -1x3 + -1(0.1(-0.1(1 + -1x) + -1(-0.1 * -0.1))) + (0.1(-0.1 * 0.1) + -1(-0.1(1.2 + -1x))) 0 = 0.968 + -2.97x + 3x2 + -1x3 + -1(0.1((1 * -0.1 + -1x * -0.1) + -1(-0.1 * -0.1))) + (0.1(-0.1 * 0.1) + -1(-0.1(1.2 + -1x))) 0 = 0.968 + -2.97x + 3x2 + -1x3 + -1(0.1((-0.1 + 0.1x) + -1(-0.1 * -0.1))) + (0.1(-0.1 * 0.1) + -1(-0.1(1.2 + -1x))) Multiply -0.1 * -0.1 0 = 0.968 + -2.97x + 3x2 + -1x3 + -1(0.1(-0.1 + 0.1x + -1(0.01))) + (0.1(-0.1 * 0.1) + -1(-0.1(1.2 + -1x))) Multiply -1 * 0.01 0 = 0.968 + -2.97x + 3x2 + -1x3 + -1(0.1(-0.1 + 0.1x + -0.01)) + (0.1(-0.1 * 0.1) + -1(-0.1(1.2 + -1x))) Reorder the terms: 0 = 0.968 + -2.97x + 3x2 + -1x3 + -1(0.1(-0.1 + -0.01 + 0.1x)) + (0.1(-0.1 * 0.1) + -1(-0.1(1.2 + -1x))) Combine like terms: -0.1 + -0.01 = -0.11 0 = 0.968 + -2.97x + 3x2 + -1x3 + -1(0.1(-0.11 + 0.1x)) + (0.1(-0.1 * 0.1) + -1(-0.1(1.2 + -1x))) 0 = 0.968 + -2.97x + 3x2 + -1x3 + -1((-0.11 * 0.1 + 0.1x * 0.1)) + (0.1(-0.1 * 0.1) + -1(-0.1(1.2 + -1x))) 0 = 0.968 + -2.97x + 3x2 + -1x3 + -1((-0.011 + 0.01x)) + (0.1(-0.1 * 0.1) + -1(-0.1(1.2 + -1x))) 0 = 0.968 + -2.97x + 3x2 + -1x3 + (-0.011 * -1 + 0.01x * -1) + (0.1(-0.1 * 0.1) + -1(-0.1(1.2 + -1x))) 0 = 0.968 + -2.97x + 3x2 + -1x3 + (0.011 + -0.01x) + (0.1(-0.1 * 0.1) + -1(-0.1(1.2 + -1x))) Multiply -0.1 * 0.1 0 = 0.968 + -2.97x + 3x2 + -1x3 + 0.011 + -0.01x + (0.1(-0.01) + -1(-0.1(1.2 + -1x))) Multiply 0.1 * -0.01 0 = 0.968 + -2.97x + 3x2 + -1x3 + 0.011 + -0.01x + (-0.001 + -1(-0.1(1.2 + -1x))) 0 = 0.968 + -2.97x + 3x2 + -1x3 + 0.011 + -0.01x + (-0.001 + -1((1.2 * -0.1 + -1x * -0.1))) 0 = 0.968 + -2.97x + 3x2 + -1x3 + 0.011 + -0.01x + (-0.001 + -1((-0.12 + 0.1x))) 0 = 0.968 + -2.97x + 3x2 + -1x3 + 0.011 + -0.01x + (-0.001 + (-0.12 * -1 + 0.1x * -1)) 0 = 0.968 + -2.97x + 3x2 + -1x3 + 0.011 + -0.01x + (-0.001 + (0.12 + -0.1x)) Combine like terms: -0.001 + 0.12 = 0.119 0 = 0.968 + -2.97x + 3x2 + -1x3 + 0.011 + -0.01x + (0.119 + -0.1x) Remove parenthesis around (0.119 + -0.1x) 0 = 0.968 + -2.97x + 3x2 + -1x3 + 0.011 + -0.01x + 0.119 + -0.1x Reorder the terms: 0 = 0.968 + 0.011 + 0.119 + -2.97x + -0.01x + -0.1x + 3x2 + -1x3 Combine like terms: 0.968 + 0.011 = 0.979 0 = 0.979 + 0.119 + -2.97x + -0.01x + -0.1x + 3x2 + -1x3 Combine like terms: 0.979 + 0.119 = 1.098 0 = 1.098 + -2.97x + -0.01x + -0.1x + 3x2 + -1x3 Combine like terms: -2.97x + -0.01x = -2.98x 0 = 1.098 + -2.98x + -0.1x + 3x2 + -1x3 Combine like terms: -2.98x + -0.1x = -3.08x 0 = 1.098 + -3.08x + 3x2 + -1x3 Solving 0 = 1.098 + -3.08x + 3x2 + -1x3 Solving for variable 'x'. Combine like terms: 0 + -1.098 = -1.098 -1.098 + 3.08x + -3x2 + x3 = 1.098 + -3.08x + 3x2 + -1x3 + -1.098 + 3.08x + -3x2 + x3 Reorder the terms: -1.098 + 3.08x + -3x2 + x3 = 1.098 + -1.098 + -3.08x + 3.08x + 3x2 + -3x2 + -1x3 + x3 Combine like terms: 1.098 + -1.098 = 0.000 -1.098 + 3.08x + -3x2 + x3 = 0.000 + -3.08x + 3.08x + 3x2 + -3x2 + -1x3 + x3 -1.098 + 3.08x + -3x2 + x3 = -3.08x + 3.08x + 3x2 + -3x2 + -1x3 + x3 Combine like terms: -3.08x + 3.08x = 0.00 -1.098 + 3.08x + -3x2 + x3 = 0.00 + 3x2 + -3x2 + -1x3 + x3 -1.098 + 3.08x + -3x2 + x3 = 3x2 + -3x2 + -1x3 + x3 Combine like terms: 3x2 + -3x2 = 0 -1.098 + 3.08x + -3x2 + x3 = 0 + -1x3 + x3 -1.098 + 3.08x + -3x2 + x3 = -1x3 + x3 Combine like terms: -1x3 + x3 = 0 -1.098 + 3.08x + -3x2 + x3 = 0 The solution to this equation could not be determined.
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