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Simplifying 3x * 3x + 7x + -8 + -6x + 12 = 0 Reorder the terms for easier multiplication: 3 * 3x * x + 7x + -8 + -6x + 12 = 0 Multiply 3 * 3 9x * x + 7x + -8 + -6x + 12 = 0 Multiply x * x 9x2 + 7x + -8 + -6x + 12 = 0 Reorder the terms: -8 + 12 + 7x + -6x + 9x2 = 0 Combine like terms: -8 + 12 = 4 4 + 7x + -6x + 9x2 = 0 Combine like terms: 7x + -6x = 1x 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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