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Simplifying 25x2 + -40x + 32 = 0 Reorder the terms: 32 + -40x + 25x2 = 0 Solving 32 + -40x + 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'. 1.28 + -1.6x + x2 = 0 Move the constant term to the right: Add '-1.28' to each side of the equation. 1.28 + -1.6x + -1.28 + x2 = 0 + -1.28 Reorder the terms: 1.28 + -1.28 + -1.6x + x2 = 0 + -1.28 Combine like terms: 1.28 + -1.28 = 0.00 0.00 + -1.6x + x2 = 0 + -1.28 -1.6x + x2 = 0 + -1.28 Combine like terms: 0 + -1.28 = -1.28 -1.6x + x2 = -1.28 The x term is -1.6x. Take half its coefficient (-0.8). Square it (0.64) and add it to both sides. Add '0.64' to each side of the equation. -1.6x + 0.64 + x2 = -1.28 + 0.64 Reorder the terms: 0.64 + -1.6x + x2 = -1.28 + 0.64 Combine like terms: -1.28 + 0.64 = -0.64 0.64 + -1.6x + x2 = -0.64 Factor a perfect square on the left side: (x + -0.8)(x + -0.8) = -0.64 Can't calculate square root of the right side. The solution to this equation could not be determined.
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