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Simplifying (4x2 + 12x + 12) + (5x2 + -13x + -4) = 0 Reorder the terms: (12 + 12x + 4x2) + (5x2 + -13x + -4) = 0 Remove parenthesis around (12 + 12x + 4x2) 12 + 12x + 4x2 + (5x2 + -13x + -4) = 0 Reorder the terms: 12 + 12x + 4x2 + (-4 + -13x + 5x2) = 0 Remove parenthesis around (-4 + -13x + 5x2) 12 + 12x + 4x2 + -4 + -13x + 5x2 = 0 Reorder the terms: 12 + -4 + 12x + -13x + 4x2 + 5x2 = 0 Combine like terms: 12 + -4 = 8 8 + 12x + -13x + 4x2 + 5x2 = 0 Combine like terms: 12x + -13x = -1x 8 + -1x + 4x2 + 5x2 = 0 Combine like terms: 4x2 + 5x2 = 9x2 8 + -1x + 9x2 = 0 Solving 8 + -1x + 9x2 = 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'. 0.8888888889 + -0.1111111111x + x2 = 0 Move the constant term to the right: Add '-0.8888888889' to each side of the equation. 0.8888888889 + -0.1111111111x + -0.8888888889 + x2 = 0 + -0.8888888889 Reorder the terms: 0.8888888889 + -0.8888888889 + -0.1111111111x + x2 = 0 + -0.8888888889 Combine like terms: 0.8888888889 + -0.8888888889 = 0.0000000000 0.0000000000 + -0.1111111111x + x2 = 0 + -0.8888888889 -0.1111111111x + x2 = 0 + -0.8888888889 Combine like terms: 0 + -0.8888888889 = -0.8888888889 -0.1111111111x + x2 = -0.8888888889 The x term is -0.1111111111x. 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. -0.1111111111x + 0.003086419752 + x2 = -0.8888888889 + 0.003086419752 Reorder the terms: 0.003086419752 + -0.1111111111x + x2 = -0.8888888889 + 0.003086419752 Combine like terms: -0.8888888889 + 0.003086419752 = -0.885802469148 0.003086419752 + -0.1111111111x + x2 = -0.885802469148 Factor a perfect square on the left side: (x + -0.05555555555)(x + -0.05555555555) = -0.885802469148 Can't calculate square root of the right side. The solution to this equation could not be determined.
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