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Simplifying (3x2 + -1x + 7) + (6x2 + -3) = 0 Reorder the terms: (7 + -1x + 3x2) + (6x2 + -3) = 0 Remove parenthesis around (7 + -1x + 3x2) 7 + -1x + 3x2 + (6x2 + -3) = 0 Reorder the terms: 7 + -1x + 3x2 + (-3 + 6x2) = 0 Remove parenthesis around (-3 + 6x2) 7 + -1x + 3x2 + -3 + 6x2 = 0 Reorder the terms: 7 + -3 + -1x + 3x2 + 6x2 = 0 Combine like terms: 7 + -3 = 4 4 + -1x + 3x2 + 6x2 = 0 Combine like terms: 3x2 + 6x2 = 9x2 4 + -1x + 9x2 = 0 Solving 4 + -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'. 0.4444444444 + -0.1111111111x + x2 = 0 Move the constant term to the right: Add '-0.4444444444' to each side of the equation. 0.4444444444 + -0.1111111111x + -0.4444444444 + x2 = 0 + -0.4444444444 Reorder the terms: 0.4444444444 + -0.4444444444 + -0.1111111111x + x2 = 0 + -0.4444444444 Combine like terms: 0.4444444444 + -0.4444444444 = 0.0000000000 0.0000000000 + -0.1111111111x + x2 = 0 + -0.4444444444 -0.1111111111x + x2 = 0 + -0.4444444444 Combine like terms: 0 + -0.4444444444 = -0.4444444444 -0.1111111111x + x2 = -0.4444444444 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 = -0.4444444444 + 0.003086419752 Reorder the terms: 0.003086419752 + -0.1111111111x + x2 = -0.4444444444 + 0.003086419752 Combine like terms: -0.4444444444 + 0.003086419752 = -0.441358024648 0.003086419752 + -0.1111111111x + x2 = -0.441358024648 Factor a perfect square on the left side: (x + -0.05555555555)(x + -0.05555555555) = -0.441358024648 Can't calculate square root of the right side. The solution to this equation could not be determined.
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