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Simplifying ((0.8 + -1x)((1.2 + -1x)(1 + -1x) + 0.01)) + -1(0.1((-0.1(1 + -1x)) + -0.01)) + (0.1(-0.01 + -1(-0.1(1.2 + -1x)))) = 0 Multiply (1.2 + -1x) * (1 + -1x) ((0.8 + -1x)((1.2(1 + -1x) + -1x * (1 + -1x)) + 0.01)) + -1(0.1((-0.1(1 + -1x)) + -0.01)) + (0.1(-0.01 + -1(-0.1(1.2 + -1x)))) = 0 ((0.8 + -1x)(((1 * 1.2 + -1x * 1.2) + -1x * (1 + -1x)) + 0.01)) + -1(0.1((-0.1(1 + -1x)) + -0.01)) + (0.1(-0.01 + -1(-0.1(1.2 + -1x)))) = 0 ((0.8 + -1x)(((1.2 + -1.2x) + -1x * (1 + -1x)) + 0.01)) + -1(0.1((-0.1(1 + -1x)) + -0.01)) + (0.1(-0.01 + -1(-0.1(1.2 + -1x)))) = 0 ((0.8 + -1x)((1.2 + -1.2x + (1 * -1x + -1x * -1x)) + 0.01)) + -1(0.1((-0.1(1 + -1x)) + -0.01)) + (0.1(-0.01 + -1(-0.1(1.2 + -1x)))) = 0 ((0.8 + -1x)((1.2 + -1.2x + (-1x + 1x2)) + 0.01)) + -1(0.1((-0.1(1 + -1x)) + -0.01)) + (0.1(-0.01 + -1(-0.1(1.2 + -1x)))) = 0 Combine like terms: -1.2x + -1x = -2.2x ((0.8 + -1x)((1.2 + -2.2x + 1x2) + 0.01)) + -1(0.1((-0.1(1 + -1x)) + -0.01)) + (0.1(-0.01 + -1(-0.1(1.2 + -1x)))) = 0 Reorder the terms: ((0.8 + -1x)(1.2 + 0.01 + -2.2x + 1x2)) + -1(0.1((-0.1(1 + -1x)) + -0.01)) + (0.1(-0.01 + -1(-0.1(1.2 + -1x)))) = 0 Combine like terms: 1.2 + 0.01 = 1.21 ((0.8 + -1x)(1.21 + -2.2x + 1x2)) + -1(0.1((-0.1(1 + -1x)) + -0.01)) + (0.1(-0.01 + -1(-0.1(1.2 + -1x)))) = 0 Multiply (0.8 + -1x) * (1.21 + -2.2x + 1x2) ((0.8(1.21 + -2.2x + 1x2) + -1x * (1.21 + -2.2x + 1x2))) + -1(0.1((-0.1(1 + -1x)) + -0.01)) + (0.1(-0.01 + -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)) + -0.01)) + (0.1(-0.01 + -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)) + -0.01)) + (0.1(-0.01 + -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)) + -0.01)) + (0.1(-0.01 + -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)) + -0.01)) + (0.1(-0.01 + -1(-0.1(1.2 + -1x)))) = 0 Reorder the terms: ((0.968 + -1.76x + -1.21x + 0.8x2 + 2.2x2 + -1x3)) + -1(0.1((-0.1(1 + -1x)) + -0.01)) + (0.1(-0.01 + -1(-0.1(1.2 + -1x)))) = 0 Combine like terms: -1.76x + -1.21x = -2.97x ((0.968 + -2.97x + 0.8x2 + 2.2x2 + -1x3)) + -1(0.1((-0.1(1 + -1x)) + -0.01)) + (0.1(-0.01 + -1(-0.1(1.2 + -1x)))) = 0 Combine like terms: 0.8x2 + 2.2x2 = 3x2 ((0.968 + -2.97x + 3x2 + -1x3)) + -1(0.1((-0.1(1 + -1x)) + -0.01)) + (0.1(-0.01 + -1(-0.1(1.2 + -1x)))) = 0 (0.968 + -2.97x + 3x2 + -1x3) + -1(0.1((-0.1(1 + -1x)) + -0.01)) + (0.1(-0.01 + -1(-0.1(1.2 + -1x)))) = 0 Remove parenthesis around (0.968 + -2.97x + 3x2 + -1x3) 0.968 + -2.97x + 3x2 + -1x3 + -1(0.1((-0.1(1 + -1x)) + -0.01)) + (0.1(-0.01 + -1(-0.1(1.2 + -1x)))) = 0 0.968 + -2.97x + 3x2 + -1x3 + -1(0.1(((1 * -0.1 + -1x * -0.1)) + -0.01)) + (0.1(-0.01 + -1(-0.1(1.2 + -1x)))) = 0 0.968 + -2.97x + 3x2 + -1x3 + -1(0.1(((-0.1 + 0.1x)) + -0.01)) + (0.1(-0.01 + -1(-0.1(1.2 + -1x)))) = 0 0.968 + -2.97x + 3x2 + -1x3 + -1(0.1((-0.1 + 0.1x) + -0.01)) + (0.1(-0.01 + -1(-0.1(1.2 + -1x)))) = 0 Remove parenthesis around (-0.1 + 0.1x) 0.968 + -2.97x + 3x2 + -1x3 + -1(0.1(-0.1 + 0.1x + -0.01)) + (0.1(-0.01 + -1(-0.1(1.2 + -1x)))) = 0 Reorder the terms: 0.968 + -2.97x + 3x2 + -1x3 + -1(0.1(-0.1 + -0.01 + 0.1x)) + (0.1(-0.01 + -1(-0.1(1.2 + -1x)))) = 0 Combine like terms: -0.1 + -0.01 = -0.11 0.968 + -2.97x + 3x2 + -1x3 + -1(0.1(-0.11 + 0.1x)) + (0.1(-0.01 + -1(-0.1(1.2 + -1x)))) = 0 0.968 + -2.97x + 3x2 + -1x3 + -1((-0.11 * 0.1 + 0.1x * 0.1)) + (0.1(-0.01 + -1(-0.1(1.2 + -1x)))) = 0 0.968 + -2.97x + 3x2 + -1x3 + -1((-0.011 + 0.01x)) + (0.1(-0.01 + -1(-0.1(1.2 + -1x)))) = 0 0.968 + -2.97x + 3x2 + -1x3 + (-0.011 * -1 + 0.01x * -1) + (0.1(-0.01 + -1(-0.1(1.2 + -1x)))) = 0 0.968 + -2.97x + 3x2 + -1x3 + (0.011 + -0.01x) + (0.1(-0.01 + -1(-0.1(1.2 + -1x)))) = 0 0.968 + -2.97x + 3x2 + -1x3 + 0.011 + -0.01x + (0.1(-0.01 + -1((1.2 * -0.1 + -1x * -0.1)))) = 0 0.968 + -2.97x + 3x2 + -1x3 + 0.011 + -0.01x + (0.1(-0.01 + -1((-0.12 + 0.1x)))) = 0 0.968 + -2.97x + 3x2 + -1x3 + 0.011 + -0.01x + (0.1(-0.01 + (-0.12 * -1 + 0.1x * -1))) = 0 0.968 + -2.97x + 3x2 + -1x3 + 0.011 + -0.01x + (0.1(-0.01 + (0.12 + -0.1x))) = 0 Combine like terms: -0.01 + 0.12 = 0.11 0.968 + -2.97x + 3x2 + -1x3 + 0.011 + -0.01x + (0.1(0.11 + -0.1x)) = 0 0.968 + -2.97x + 3x2 + -1x3 + 0.011 + -0.01x + ((0.11 * 0.1 + -0.1x * 0.1)) = 0 0.968 + -2.97x + 3x2 + -1x3 + 0.011 + -0.01x + ((0.011 + -0.01x)) = 0 0.968 + -2.97x + 3x2 + -1x3 + 0.011 + -0.01x + (0.011 + -0.01x) = 0 Remove parenthesis around (0.011 + -0.01x) 0.968 + -2.97x + 3x2 + -1x3 + 0.011 + -0.01x + 0.011 + -0.01x = 0 Reorder the terms: 0.968 + 0.011 + 0.011 + -2.97x + -0.01x + -0.01x + 3x2 + -1x3 = 0 Combine like terms: 0.968 + 0.011 = 0.979 0.979 + 0.011 + -2.97x + -0.01x + -0.01x + 3x2 + -1x3 = 0 Combine like terms: 0.979 + 0.011 = 0.99 0.99 + -2.97x + -0.01x + -0.01x + 3x2 + -1x3 = 0 Combine like terms: -2.97x + -0.01x = -2.98x 0.99 + -2.98x + -0.01x + 3x2 + -1x3 = 0 Combine like terms: -2.98x + -0.01x = -2.99x 0.99 + -2.99x + 3x2 + -1x3 = 0 Solving 0.99 + -2.99x + 3x2 + -1x3 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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