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Simplifying 9x2 + -45x + 116 = 0 Reorder the terms: 116 + -45x + 9x2 = 0 Solving 116 + -45x + 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'. 12.88888889 + -5x + x2 = 0 Move the constant term to the right: Add '-12.88888889' to each side of the equation. 12.88888889 + -5x + -12.88888889 + x2 = 0 + -12.88888889 Reorder the terms: 12.88888889 + -12.88888889 + -5x + x2 = 0 + -12.88888889 Combine like terms: 12.88888889 + -12.88888889 = 0.00000000 0.00000000 + -5x + x2 = 0 + -12.88888889 -5x + x2 = 0 + -12.88888889 Combine like terms: 0 + -12.88888889 = -12.88888889 -5x + x2 = -12.88888889 The x term is -5x. Take half its coefficient (-2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. -5x + 6.25 + x2 = -12.88888889 + 6.25 Reorder the terms: 6.25 + -5x + x2 = -12.88888889 + 6.25 Combine like terms: -12.88888889 + 6.25 = -6.63888889 6.25 + -5x + x2 = -6.63888889 Factor a perfect square on the left side: (x + -2.5)(x + -2.5) = -6.63888889 Can't calculate square root of the right side. The solution to this equation could not be determined.
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