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Simplifying -16x2 + 3x = 1 Reorder the terms: 3x + -16x2 = 1 Solving 3x + -16x2 = 1 Solving for variable 'x'. Reorder the terms: -1 + 3x + -16x2 = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + 3x + -16x2 = 0 Begin completing the square. Divide all terms by -16 the coefficient of the squared term: Divide each side by '-16'. 0.0625 + -0.1875x + x2 = 0 Move the constant term to the right: Add '-0.0625' to each side of the equation. 0.0625 + -0.1875x + -0.0625 + x2 = 0 + -0.0625 Reorder the terms: 0.0625 + -0.0625 + -0.1875x + x2 = 0 + -0.0625 Combine like terms: 0.0625 + -0.0625 = 0.0000 0.0000 + -0.1875x + x2 = 0 + -0.0625 -0.1875x + x2 = 0 + -0.0625 Combine like terms: 0 + -0.0625 = -0.0625 -0.1875x + x2 = -0.0625 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 = -0.0625 + 0.0087890625 Reorder the terms: 0.0087890625 + -0.1875x + x2 = -0.0625 + 0.0087890625 Combine like terms: -0.0625 + 0.0087890625 = -0.0537109375 0.0087890625 + -0.1875x + x2 = -0.0537109375 Factor a perfect square on the left side: (x + -0.09375)(x + -0.09375) = -0.0537109375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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