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Simplifying x + -2x2 + -25 = 0 Reorder the terms: -25 + x + -2x2 = 0 Solving -25 + x + -2x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -2 the coefficient of the squared term: Divide each side by '-2'. 12.5 + -0.5x + x2 = 0 Move the constant term to the right: Add '-12.5' to each side of the equation. 12.5 + -0.5x + -12.5 + x2 = 0 + -12.5 Reorder the terms: 12.5 + -12.5 + -0.5x + x2 = 0 + -12.5 Combine like terms: 12.5 + -12.5 = 0.0 0.0 + -0.5x + x2 = 0 + -12.5 -0.5x + x2 = 0 + -12.5 Combine like terms: 0 + -12.5 = -12.5 -0.5x + x2 = -12.5 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 = -12.5 + 0.25 Reorder the terms: 0.25 + -0.5x + x2 = -12.5 + 0.25 Combine like terms: -12.5 + 0.25 = -12.25 0.25 + -0.5x + x2 = -12.25 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -12.25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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