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Simplifying 32x2 + x = -1296000 Reorder the terms: x + 32x2 = -1296000 Solving x + 32x2 = -1296000 Solving for variable 'x'. Reorder the terms: 1296000 + x + 32x2 = -1296000 + 1296000 Combine like terms: -1296000 + 1296000 = 0 1296000 + x + 32x2 = 0 Begin completing the square. Divide all terms by 32 the coefficient of the squared term: Divide each side by '32'. 40500 + 0.03125x + x2 = 0 Move the constant term to the right: Add '-40500' to each side of the equation. 40500 + 0.03125x + -40500 + x2 = 0 + -40500 Reorder the terms: 40500 + -40500 + 0.03125x + x2 = 0 + -40500 Combine like terms: 40500 + -40500 = 0 0 + 0.03125x + x2 = 0 + -40500 0.03125x + x2 = 0 + -40500 Combine like terms: 0 + -40500 = -40500 0.03125x + x2 = -40500 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. 0.03125x + 0.25 + x2 = -40500 + 0.25 Reorder the terms: 0.25 + 0.03125x + x2 = -40500 + 0.25 Combine like terms: -40500 + 0.25 = -40499.75 0.25 + 0.03125x + x2 = -40499.75 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -40499.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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