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Simplifying (8x2 + 3x + -5) + (x2 + -4x + 7) = 0 Reorder the terms: (-5 + 3x + 8x2) + (x2 + -4x + 7) = 0 Remove parenthesis around (-5 + 3x + 8x2) -5 + 3x + 8x2 + (x2 + -4x + 7) = 0 Reorder the terms: -5 + 3x + 8x2 + (7 + -4x + x2) = 0 Remove parenthesis around (7 + -4x + x2) -5 + 3x + 8x2 + 7 + -4x + x2 = 0 Reorder the terms: -5 + 7 + 3x + -4x + 8x2 + x2 = 0 Combine like terms: -5 + 7 = 2 2 + 3x + -4x + 8x2 + x2 = 0 Combine like terms: 3x + -4x = -1x 2 + -1x + 8x2 + x2 = 0 Combine like terms: 8x2 + x2 = 9x2 2 + -1x + 9x2 = 0 Solving 2 + -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'. 0.2222222222 + -0.1111111111x + x2 = 0 Move the constant term to the right: Add '-0.2222222222' to each side of the equation. 0.2222222222 + -0.1111111111x + -0.2222222222 + x2 = 0 + -0.2222222222 Reorder the terms: 0.2222222222 + -0.2222222222 + -0.1111111111x + x2 = 0 + -0.2222222222 Combine like terms: 0.2222222222 + -0.2222222222 = 0.0000000000 0.0000000000 + -0.1111111111x + x2 = 0 + -0.2222222222 -0.1111111111x + x2 = 0 + -0.2222222222 Combine like terms: 0 + -0.2222222222 = -0.2222222222 -0.1111111111x + x2 = -0.2222222222 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 = -0.2222222222 + 0.003086419752 Reorder the terms: 0.003086419752 + -0.1111111111x + x2 = -0.2222222222 + 0.003086419752 Combine like terms: -0.2222222222 + 0.003086419752 = -0.219135802448 0.003086419752 + -0.1111111111x + x2 = -0.219135802448 Factor a perfect square on the left side: (x + -0.05555555555)(x + -0.05555555555) = -0.219135802448 Can't calculate square root of the right side. The solution to this equation could not be determined.
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