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Simplifying 9x2 = 30x + -50 Reorder the terms: 9x2 = -50 + 30x Solving 9x2 = -50 + 30x Solving for variable 'x'. Reorder the terms: 50 + -30x + 9x2 = -50 + 30x + 50 + -30x Reorder the terms: 50 + -30x + 9x2 = -50 + 50 + 30x + -30x Combine like terms: -50 + 50 = 0 50 + -30x + 9x2 = 0 + 30x + -30x 50 + -30x + 9x2 = 30x + -30x Combine like terms: 30x + -30x = 0 50 + -30x + 9x2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 5.555555556 + -3.333333333x + x2 = 0 Move the constant term to the right: Add '-5.555555556' to each side of the equation. 5.555555556 + -3.333333333x + -5.555555556 + x2 = 0 + -5.555555556 Reorder the terms: 5.555555556 + -5.555555556 + -3.333333333x + x2 = 0 + -5.555555556 Combine like terms: 5.555555556 + -5.555555556 = 0.000000000 0.000000000 + -3.333333333x + x2 = 0 + -5.555555556 -3.333333333x + x2 = 0 + -5.555555556 Combine like terms: 0 + -5.555555556 = -5.555555556 -3.333333333x + x2 = -5.555555556 The x term is -3.333333333x. Take half its coefficient (-1.666666667). Square it (2.777777779) and add it to both sides. Add '2.777777779' to each side of the equation. -3.333333333x + 2.777777779 + x2 = -5.555555556 + 2.777777779 Reorder the terms: 2.777777779 + -3.333333333x + x2 = -5.555555556 + 2.777777779 Combine like terms: -5.555555556 + 2.777777779 = -2.777777777 2.777777779 + -3.333333333x + x2 = -2.777777777 Factor a perfect square on the left side: (x + -1.666666667)(x + -1.666666667) = -2.777777777 Can't calculate square root of the right side. The solution to this equation could not be determined.
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