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Simplifying 3x2 + -16x + 51 = 0 Reorder the terms: 51 + -16x + 3x2 = 0 Solving 51 + -16x + 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'. 17 + -5.333333333x + x2 = 0 Move the constant term to the right: Add '-17' to each side of the equation. 17 + -5.333333333x + -17 + x2 = 0 + -17 Reorder the terms: 17 + -17 + -5.333333333x + x2 = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -5.333333333x + x2 = 0 + -17 -5.333333333x + x2 = 0 + -17 Combine like terms: 0 + -17 = -17 -5.333333333x + x2 = -17 The x term is -5.333333333x. Take half its coefficient (-2.666666667). Square it (7.111111113) and add it to both sides. Add '7.111111113' to each side of the equation. -5.333333333x + 7.111111113 + x2 = -17 + 7.111111113 Reorder the terms: 7.111111113 + -5.333333333x + x2 = -17 + 7.111111113 Combine like terms: -17 + 7.111111113 = -9.888888887 7.111111113 + -5.333333333x + x2 = -9.888888887 Factor a perfect square on the left side: (x + -2.666666667)(x + -2.666666667) = -9.888888887 Can't calculate square root of the right side. The solution to this equation could not be determined.
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