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Simplifying 16x2 + 3x + 5 = 0 Reorder the terms: 5 + 3x + 16x2 = 0 Solving 5 + 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'. 0.3125 + 0.1875x + x2 = 0 Move the constant term to the right: Add '-0.3125' to each side of the equation. 0.3125 + 0.1875x + -0.3125 + x2 = 0 + -0.3125 Reorder the terms: 0.3125 + -0.3125 + 0.1875x + x2 = 0 + -0.3125 Combine like terms: 0.3125 + -0.3125 = 0.0000 0.0000 + 0.1875x + x2 = 0 + -0.3125 0.1875x + x2 = 0 + -0.3125 Combine like terms: 0 + -0.3125 = -0.3125 0.1875x + x2 = -0.3125 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 = -0.3125 + 0.0087890625 Reorder the terms: 0.0087890625 + 0.1875x + x2 = -0.3125 + 0.0087890625 Combine like terms: -0.3125 + 0.0087890625 = -0.3037109375 0.0087890625 + 0.1875x + x2 = -0.3037109375 Factor a perfect square on the left side: (x + 0.09375)(x + 0.09375) = -0.3037109375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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