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Simplifying 16x2 + 72x + 85 = 0 Reorder the terms: 85 + 72x + 16x2 = 0 Solving 85 + 72x + 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'. 5.3125 + 4.5x + x2 = 0 Move the constant term to the right: Add '-5.3125' to each side of the equation. 5.3125 + 4.5x + -5.3125 + x2 = 0 + -5.3125 Reorder the terms: 5.3125 + -5.3125 + 4.5x + x2 = 0 + -5.3125 Combine like terms: 5.3125 + -5.3125 = 0.0000 0.0000 + 4.5x + x2 = 0 + -5.3125 4.5x + x2 = 0 + -5.3125 Combine like terms: 0 + -5.3125 = -5.3125 4.5x + x2 = -5.3125 The x term is 4.5x. Take half its coefficient (2.25). Square it (5.0625) and add it to both sides. Add '5.0625' to each side of the equation. 4.5x + 5.0625 + x2 = -5.3125 + 5.0625 Reorder the terms: 5.0625 + 4.5x + x2 = -5.3125 + 5.0625 Combine like terms: -5.3125 + 5.0625 = -0.25 5.0625 + 4.5x + x2 = -0.25 Factor a perfect square on the left side: (x + 2.25)(x + 2.25) = -0.25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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