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Simplifying 16x2 + -72x + 255 = 0 Reorder the terms: 255 + -72x + 16x2 = 0 Solving 255 + -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'. 15.9375 + -4.5x + x2 = 0 Move the constant term to the right: Add '-15.9375' to each side of the equation. 15.9375 + -4.5x + -15.9375 + x2 = 0 + -15.9375 Reorder the terms: 15.9375 + -15.9375 + -4.5x + x2 = 0 + -15.9375 Combine like terms: 15.9375 + -15.9375 = 0.0000 0.0000 + -4.5x + x2 = 0 + -15.9375 -4.5x + x2 = 0 + -15.9375 Combine like terms: 0 + -15.9375 = -15.9375 -4.5x + x2 = -15.9375 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 = -15.9375 + 5.0625 Reorder the terms: 5.0625 + -4.5x + x2 = -15.9375 + 5.0625 Combine like terms: -15.9375 + 5.0625 = -10.875 5.0625 + -4.5x + x2 = -10.875 Factor a perfect square on the left side: (x + -2.25)(x + -2.25) = -10.875 Can't calculate square root of the right side. The solution to this equation could not be determined.
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