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Simplifying 14 = 3x + -16x2 Solving 14 = 3x + -16x2 Solving for variable 'x'. Reorder the terms: 14 + -3x + 16x2 = 3x + -3x + -16x2 + 16x2 Combine like terms: 3x + -3x = 0 14 + -3x + 16x2 = 0 + -16x2 + 16x2 14 + -3x + 16x2 = -16x2 + 16x2 Combine like terms: -16x2 + 16x2 = 0 14 + -3x + 16x2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 0.875 + -0.1875x + x2 = 0 Move the constant term to the right: Add '-0.875' to each side of the equation. 0.875 + -0.1875x + -0.875 + x2 = 0 + -0.875 Reorder the terms: 0.875 + -0.875 + -0.1875x + x2 = 0 + -0.875 Combine like terms: 0.875 + -0.875 = 0.000 0.000 + -0.1875x + x2 = 0 + -0.875 -0.1875x + x2 = 0 + -0.875 Combine like terms: 0 + -0.875 = -0.875 -0.1875x + x2 = -0.875 The x term is -0.1875x. Take half its coefficient (-0.09375). Square it (0.0087890625) and add it to both sides. Add '0.0087890625' to each side of the equation. -0.1875x + 0.0087890625 + x2 = -0.875 + 0.0087890625 Reorder the terms: 0.0087890625 + -0.1875x + x2 = -0.875 + 0.0087890625 Combine like terms: -0.875 + 0.0087890625 = -0.8662109375 0.0087890625 + -0.1875x + x2 = -0.8662109375 Factor a perfect square on the left side: (x + -0.09375)(x + -0.09375) = -0.8662109375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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