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Simplifying 25x2 + -80x + 91 = 0 Reorder the terms: 91 + -80x + 25x2 = 0 Solving 91 + -80x + 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'. 3.64 + -3.2x + x2 = 0 Move the constant term to the right: Add '-3.64' to each side of the equation. 3.64 + -3.2x + -3.64 + x2 = 0 + -3.64 Reorder the terms: 3.64 + -3.64 + -3.2x + x2 = 0 + -3.64 Combine like terms: 3.64 + -3.64 = 0.00 0.00 + -3.2x + x2 = 0 + -3.64 -3.2x + x2 = 0 + -3.64 Combine like terms: 0 + -3.64 = -3.64 -3.2x + x2 = -3.64 The x term is -3.2x. Take half its coefficient (-1.6). Square it (2.56) and add it to both sides. Add '2.56' to each side of the equation. -3.2x + 2.56 + x2 = -3.64 + 2.56 Reorder the terms: 2.56 + -3.2x + x2 = -3.64 + 2.56 Combine like terms: -3.64 + 2.56 = -1.08 2.56 + -3.2x + x2 = -1.08 Factor a perfect square on the left side: (x + -1.6)(x + -1.6) = -1.08 Can't calculate square root of the right side. The solution to this equation could not be determined.
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