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Simplifying (4X2 + -4X + 9) + -1(-4X2 + 8X + -1) + (4X2 + 5X + -2) = 0 Reorder the terms: (9 + -4X + 4X2) + -1(-4X2 + 8X + -1) + (4X2 + 5X + -2) = 0 Remove parenthesis around (9 + -4X + 4X2) 9 + -4X + 4X2 + -1(-4X2 + 8X + -1) + (4X2 + 5X + -2) = 0 Reorder the terms: 9 + -4X + 4X2 + -1(-1 + 8X + -4X2) + (4X2 + 5X + -2) = 0 9 + -4X + 4X2 + (-1 * -1 + 8X * -1 + -4X2 * -1) + (4X2 + 5X + -2) = 0 9 + -4X + 4X2 + (1 + -8X + 4X2) + (4X2 + 5X + -2) = 0 Reorder the terms: 9 + -4X + 4X2 + 1 + -8X + 4X2 + (-2 + 5X + 4X2) = 0 Remove parenthesis around (-2 + 5X + 4X2) 9 + -4X + 4X2 + 1 + -8X + 4X2 + -2 + 5X + 4X2 = 0 Reorder the terms: 9 + 1 + -2 + -4X + -8X + 5X + 4X2 + 4X2 + 4X2 = 0 Combine like terms: 9 + 1 = 10 10 + -2 + -4X + -8X + 5X + 4X2 + 4X2 + 4X2 = 0 Combine like terms: 10 + -2 = 8 8 + -4X + -8X + 5X + 4X2 + 4X2 + 4X2 = 0 Combine like terms: -4X + -8X = -12X 8 + -12X + 5X + 4X2 + 4X2 + 4X2 = 0 Combine like terms: -12X + 5X = -7X 8 + -7X + 4X2 + 4X2 + 4X2 = 0 Combine like terms: 4X2 + 4X2 = 8X2 8 + -7X + 8X2 + 4X2 = 0 Combine like terms: 8X2 + 4X2 = 12X2 8 + -7X + 12X2 = 0 Solving 8 + -7X + 12X2 = 0 Solving for variable 'X'. Begin completing the square. Divide all terms by 12 the coefficient of the squared term: Divide each side by '12'. 0.6666666667 + -0.5833333333X + X2 = 0 Move the constant term to the right: Add '-0.6666666667' to each side of the equation. 0.6666666667 + -0.5833333333X + -0.6666666667 + X2 = 0 + -0.6666666667 Reorder the terms: 0.6666666667 + -0.6666666667 + -0.5833333333X + X2 = 0 + -0.6666666667 Combine like terms: 0.6666666667 + -0.6666666667 = 0.0000000000 0.0000000000 + -0.5833333333X + X2 = 0 + -0.6666666667 -0.5833333333X + X2 = 0 + -0.6666666667 Combine like terms: 0 + -0.6666666667 = -0.6666666667 -0.5833333333X + X2 = -0.6666666667 The X term is -0.5833333333X. Take half its coefficient (-0.2916666667). Square it (0.08506944446) and add it to both sides. Add '0.08506944446' to each side of the equation. -0.5833333333X + 0.08506944446 + X2 = -0.6666666667 + 0.08506944446 Reorder the terms: 0.08506944446 + -0.5833333333X + X2 = -0.6666666667 + 0.08506944446 Combine like terms: -0.6666666667 + 0.08506944446 = -0.58159722224 0.08506944446 + -0.5833333333X + X2 = -0.58159722224 Factor a perfect square on the left side: (X + -0.2916666667)(X + -0.2916666667) = -0.58159722224 Can't calculate square root of the right side. The solution to this equation could not be determined.
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