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Simplifying x + -2x2 = 10.625 Solving x + -2x2 = 10.625 Solving for variable 'x'. Reorder the terms: -10.625 + x + -2x2 = 10.625 + -10.625 Combine like terms: 10.625 + -10.625 = 0.000 -10.625 + x + -2x2 = 0.000 Begin completing the square. Divide all terms by -2 the coefficient of the squared term: Divide each side by '-2'. 5.3125 + -0.5x + x2 = 0.000 Move the constant term to the right: Add '-5.3125' to each side of the equation. 5.3125 + -0.5x + -5.3125 + x2 = 0.000 + -5.3125 Reorder the terms: 5.3125 + -5.3125 + -0.5x + x2 = 0.000 + -5.3125 Combine like terms: 5.3125 + -5.3125 = 0.0000 0.0000 + -0.5x + x2 = 0.000 + -5.3125 -0.5x + x2 = 0.000 + -5.3125 Combine like terms: 0.000 + -5.3125 = -5.3125 -0.5x + x2 = -5.3125 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. -0.5x + 0.25 + x2 = -5.3125 + 0.25 Reorder the terms: 0.25 + -0.5x + x2 = -5.3125 + 0.25 Combine like terms: -5.3125 + 0.25 = -5.0625 0.25 + -0.5x + x2 = -5.0625 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -5.0625 Can't calculate square root of the right side. The solution to this equation could not be determined.
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