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Simplifying 20x2 + 32x + 25 = 0 Reorder the terms: 25 + 32x + 20x2 = 0 Solving 25 + 32x + 20x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 20 the coefficient of the squared term: Divide each side by '20'. 1.25 + 1.6x + x2 = 0 Move the constant term to the right: Add '-1.25' to each side of the equation. 1.25 + 1.6x + -1.25 + x2 = 0 + -1.25 Reorder the terms: 1.25 + -1.25 + 1.6x + x2 = 0 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + 1.6x + x2 = 0 + -1.25 1.6x + x2 = 0 + -1.25 Combine like terms: 0 + -1.25 = -1.25 1.6x + x2 = -1.25 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 = -1.25 + 0.64 Reorder the terms: 0.64 + 1.6x + x2 = -1.25 + 0.64 Combine like terms: -1.25 + 0.64 = -0.61 0.64 + 1.6x + x2 = -0.61 Factor a perfect square on the left side: (x + 0.8)(x + 0.8) = -0.61 Can't calculate square root of the right side. The solution to this equation could not be determined.
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