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Simplifying 9x2 = x + -4 Reorder the terms: 9x2 = -4 + x Solving 9x2 = -4 + x Solving for variable 'x'. Reorder the terms: 4 + -1x + 9x2 = -4 + x + 4 + -1x Reorder the terms: 4 + -1x + 9x2 = -4 + 4 + x + -1x Combine like terms: -4 + 4 = 0 4 + -1x + 9x2 = 0 + x + -1x 4 + -1x + 9x2 = x + -1x Combine like terms: x + -1x = 0 4 + -1x + 9x2 = 0 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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