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Simplifying 25x2 + -72x + 80 = 0 Reorder the terms: 80 + -72x + 25x2 = 0 Solving 80 + -72x + 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'. 3.2 + -2.88x + x2 = 0 Move the constant term to the right: Add '-3.2' to each side of the equation. 3.2 + -2.88x + -3.2 + x2 = 0 + -3.2 Reorder the terms: 3.2 + -3.2 + -2.88x + x2 = 0 + -3.2 Combine like terms: 3.2 + -3.2 = 0.0 0.0 + -2.88x + x2 = 0 + -3.2 -2.88x + x2 = 0 + -3.2 Combine like terms: 0 + -3.2 = -3.2 -2.88x + x2 = -3.2 The x term is -2.88x. Take half its coefficient (-1.44). Square it (2.0736) and add it to both sides. Add '2.0736' to each side of the equation. -2.88x + 2.0736 + x2 = -3.2 + 2.0736 Reorder the terms: 2.0736 + -2.88x + x2 = -3.2 + 2.0736 Combine like terms: -3.2 + 2.0736 = -1.1264 2.0736 + -2.88x + x2 = -1.1264 Factor a perfect square on the left side: (x + -1.44)(x + -1.44) = -1.1264 Can't calculate square root of the right side. The solution to this equation could not be determined.
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