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Simplifying 9x2 + 10x + 6 = 0 Reorder the terms: 6 + 10x + 9x2 = 0 Solving 6 + 10x + 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'. 0.6666666667 + 1.111111111x + x2 = 0 Move the constant term to the right: Add '-0.6666666667' to each side of the equation. 0.6666666667 + 1.111111111x + -0.6666666667 + x2 = 0 + -0.6666666667 Reorder the terms: 0.6666666667 + -0.6666666667 + 1.111111111x + x2 = 0 + -0.6666666667 Combine like terms: 0.6666666667 + -0.6666666667 = 0.0000000000 0.0000000000 + 1.111111111x + x2 = 0 + -0.6666666667 1.111111111x + x2 = 0 + -0.6666666667 Combine like terms: 0 + -0.6666666667 = -0.6666666667 1.111111111x + x2 = -0.6666666667 The x term is 1.111111111x. Take half its coefficient (0.5555555555). Square it (0.3086419752) and add it to both sides. Add '0.3086419752' to each side of the equation. 1.111111111x + 0.3086419752 + x2 = -0.6666666667 + 0.3086419752 Reorder the terms: 0.3086419752 + 1.111111111x + x2 = -0.6666666667 + 0.3086419752 Combine like terms: -0.6666666667 + 0.3086419752 = -0.3580246915 0.3086419752 + 1.111111111x + x2 = -0.3580246915 Factor a perfect square on the left side: (x + 0.5555555555)(x + 0.5555555555) = -0.3580246915 Can't calculate square root of the right side. The solution to this equation could not be determined.
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