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Simplifying (4.3x2 + -2.6x + -3.1) + (7x2 + -4.7x + 8.4) = 0 Reorder the terms: (-3.1 + -2.6x + 4.3x2) + (7x2 + -4.7x + 8.4) = 0 Remove parenthesis around (-3.1 + -2.6x + 4.3x2) -3.1 + -2.6x + 4.3x2 + (7x2 + -4.7x + 8.4) = 0 Reorder the terms: -3.1 + -2.6x + 4.3x2 + (8.4 + -4.7x + 7x2) = 0 Remove parenthesis around (8.4 + -4.7x + 7x2) -3.1 + -2.6x + 4.3x2 + 8.4 + -4.7x + 7x2 = 0 Reorder the terms: -3.1 + 8.4 + -2.6x + -4.7x + 4.3x2 + 7x2 = 0 Combine like terms: -3.1 + 8.4 = 5.3 5.3 + -2.6x + -4.7x + 4.3x2 + 7x2 = 0 Combine like terms: -2.6x + -4.7x = -7.3x 5.3 + -7.3x + 4.3x2 + 7x2 = 0 Combine like terms: 4.3x2 + 7x2 = 11.3x2 5.3 + -7.3x + 11.3x2 = 0 Solving 5.3 + -7.3x + 11.3x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 11.3 the coefficient of the squared term: Divide each side by '11.3'. 0.4690265487 + -0.6460176991x + x2 = 0 Move the constant term to the right: Add '-0.4690265487' to each side of the equation. 0.4690265487 + -0.6460176991x + -0.4690265487 + x2 = 0 + -0.4690265487 Reorder the terms: 0.4690265487 + -0.4690265487 + -0.6460176991x + x2 = 0 + -0.4690265487 Combine like terms: 0.4690265487 + -0.4690265487 = 0.0000000000 0.0000000000 + -0.6460176991x + x2 = 0 + -0.4690265487 -0.6460176991x + x2 = 0 + -0.4690265487 Combine like terms: 0 + -0.4690265487 = -0.4690265487 -0.6460176991x + x2 = -0.4690265487 The x term is -0.6460176991x. Take half its coefficient (-0.3230088496). Square it (0.1043347169) and add it to both sides. Add '0.1043347169' to each side of the equation. -0.6460176991x + 0.1043347169 + x2 = -0.4690265487 + 0.1043347169 Reorder the terms: 0.1043347169 + -0.6460176991x + x2 = -0.4690265487 + 0.1043347169 Combine like terms: -0.4690265487 + 0.1043347169 = -0.3646918318 0.1043347169 + -0.6460176991x + x2 = -0.3646918318 Factor a perfect square on the left side: (x + -0.3230088496)(x + -0.3230088496) = -0.3646918318 Can't calculate square root of the right side. The solution to this equation could not be determined.
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