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Simplifying 16x2 + -83.3x + 294 = 0 Reorder the terms: 294 + -83.3x + 16x2 = 0 Solving 294 + -83.3x + 16x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 18.375 + -5.20625x + x2 = 0 Move the constant term to the right: Add '-18.375' to each side of the equation. 18.375 + -5.20625x + -18.375 + x2 = 0 + -18.375 Reorder the terms: 18.375 + -18.375 + -5.20625x + x2 = 0 + -18.375 Combine like terms: 18.375 + -18.375 = 0.000 0.000 + -5.20625x + x2 = 0 + -18.375 -5.20625x + x2 = 0 + -18.375 Combine like terms: 0 + -18.375 = -18.375 -5.20625x + x2 = -18.375 The x term is -5.20625x. Take half its coefficient (-2.603125). Square it (6.776259766) and add it to both sides. Add '6.776259766' to each side of the equation. -5.20625x + 6.776259766 + x2 = -18.375 + 6.776259766 Reorder the terms: 6.776259766 + -5.20625x + x2 = -18.375 + 6.776259766 Combine like terms: -18.375 + 6.776259766 = -11.598740234 6.776259766 + -5.20625x + x2 = -11.598740234 Factor a perfect square on the left side: (x + -2.603125)(x + -2.603125) = -11.598740234 Can't calculate square root of the right side. The solution to this equation could not be determined.
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