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Simplifying (9x4 + -3x2) + (4x2 + 5) = 0 Reorder the terms: (-3x2 + 9x4) + (4x2 + 5) = 0 Remove parenthesis around (-3x2 + 9x4) -3x2 + 9x4 + (4x2 + 5) = 0 Reorder the terms: -3x2 + 9x4 + (5 + 4x2) = 0 Remove parenthesis around (5 + 4x2) -3x2 + 9x4 + 5 + 4x2 = 0 Reorder the terms: 5 + -3x2 + 4x2 + 9x4 = 0 Combine like terms: -3x2 + 4x2 = 1x2 5 + 1x2 + 9x4 = 0 Solving 5 + 1x2 + 9x4 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 0.5555555556 + 0.1111111111x2 + x4 = 0 Move the constant term to the right: Add '-0.5555555556' to each side of the equation. 0.5555555556 + 0.1111111111x2 + -0.5555555556 + x4 = 0 + -0.5555555556 Reorder the terms: 0.5555555556 + -0.5555555556 + 0.1111111111x2 + x4 = 0 + -0.5555555556 Combine like terms: 0.5555555556 + -0.5555555556 = 0.0000000000 0.0000000000 + 0.1111111111x2 + x4 = 0 + -0.5555555556 0.1111111111x2 + x4 = 0 + -0.5555555556 Combine like terms: 0 + -0.5555555556 = -0.5555555556 0.1111111111x2 + x4 = -0.5555555556 The x term is 0.1111111111x2. Take half its coefficient (0.05555555555). Square it (0.003086419752) and add it to both sides. Add '0.003086419752' to each side of the equation. 0.1111111111x2 + 0.003086419752 + x4 = -0.5555555556 + 0.003086419752 Reorder the terms: 0.003086419752 + 0.1111111111x2 + x4 = -0.5555555556 + 0.003086419752 Combine like terms: -0.5555555556 + 0.003086419752 = -0.552469135848 0.003086419752 + 0.1111111111x2 + x4 = -0.552469135848 Factor a perfect square on the left side: (x2 + 0.05555555555)(x2 + 0.05555555555) = -0.552469135848 Can't calculate square root of the right side. The solution to this equation could not be determined.
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