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Simplifying 3x2 + -100x + 950 = 0 Reorder the terms: 950 + -100x + 3x2 = 0 Solving 950 + -100x + 3x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 316.6666667 + -33.33333333x + x2 = 0 Move the constant term to the right: Add '-316.6666667' to each side of the equation. 316.6666667 + -33.33333333x + -316.6666667 + x2 = 0 + -316.6666667 Reorder the terms: 316.6666667 + -316.6666667 + -33.33333333x + x2 = 0 + -316.6666667 Combine like terms: 316.6666667 + -316.6666667 = 0.0000000 0.0000000 + -33.33333333x + x2 = 0 + -316.6666667 -33.33333333x + x2 = 0 + -316.6666667 Combine like terms: 0 + -316.6666667 = -316.6666667 -33.33333333x + x2 = -316.6666667 The x term is -33.33333333x. Take half its coefficient (-16.66666667). Square it (277.7777779) and add it to both sides. Add '277.7777779' to each side of the equation. -33.33333333x + 277.7777779 + x2 = -316.6666667 + 277.7777779 Reorder the terms: 277.7777779 + -33.33333333x + x2 = -316.6666667 + 277.7777779 Combine like terms: -316.6666667 + 277.7777779 = -38.8888888 277.7777779 + -33.33333333x + x2 = -38.8888888 Factor a perfect square on the left side: (x + -16.66666667)(x + -16.66666667) = -38.8888888 Can't calculate square root of the right side. The solution to this equation could not be determined.
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