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Simplifying 9x2 + 113x + 414 = 0 Reorder the terms: 414 + 113x + 9x2 = 0 Solving 414 + 113x + 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'. 46 + 12.55555556x + x2 = 0 Move the constant term to the right: Add '-46' to each side of the equation. 46 + 12.55555556x + -46 + x2 = 0 + -46 Reorder the terms: 46 + -46 + 12.55555556x + x2 = 0 + -46 Combine like terms: 46 + -46 = 0 0 + 12.55555556x + x2 = 0 + -46 12.55555556x + x2 = 0 + -46 Combine like terms: 0 + -46 = -46 12.55555556x + x2 = -46 The x term is 12.55555556x. Take half its coefficient (6.27777778). Square it (39.41049386) and add it to both sides. Add '39.41049386' to each side of the equation. 12.55555556x + 39.41049386 + x2 = -46 + 39.41049386 Reorder the terms: 39.41049386 + 12.55555556x + x2 = -46 + 39.41049386 Combine like terms: -46 + 39.41049386 = -6.58950614 39.41049386 + 12.55555556x + x2 = -6.58950614 Factor a perfect square on the left side: (x + 6.27777778)(x + 6.27777778) = -6.58950614 Can't calculate square root of the right side. The solution to this equation could not be determined.
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