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Simplifying 25x2 + -16x + 220 = 0 Reorder the terms: 220 + -16x + 25x2 = 0 Solving 220 + -16x + 25x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 25 the coefficient of the squared term: Divide each side by '25'. 8.8 + -0.64x + x2 = 0 Move the constant term to the right: Add '-8.8' to each side of the equation. 8.8 + -0.64x + -8.8 + x2 = 0 + -8.8 Reorder the terms: 8.8 + -8.8 + -0.64x + x2 = 0 + -8.8 Combine like terms: 8.8 + -8.8 = 0.0 0.0 + -0.64x + x2 = 0 + -8.8 -0.64x + x2 = 0 + -8.8 Combine like terms: 0 + -8.8 = -8.8 -0.64x + x2 = -8.8 The x term is -0.64x. Take half its coefficient (-0.32). Square it (0.1024) and add it to both sides. Add '0.1024' to each side of the equation. -0.64x + 0.1024 + x2 = -8.8 + 0.1024 Reorder the terms: 0.1024 + -0.64x + x2 = -8.8 + 0.1024 Combine like terms: -8.8 + 0.1024 = -8.6976 0.1024 + -0.64x + x2 = -8.6976 Factor a perfect square on the left side: (x + -0.32)(x + -0.32) = -8.6976 Can't calculate square root of the right side. The solution to this equation could not be determined.
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