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Simplifying 2x2 + -70x + 1225 = 0 Reorder the terms: 1225 + -70x + 2x2 = 0 Solving 1225 + -70x + 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'. 612.5 + -35x + x2 = 0 Move the constant term to the right: Add '-612.5' to each side of the equation. 612.5 + -35x + -612.5 + x2 = 0 + -612.5 Reorder the terms: 612.5 + -612.5 + -35x + x2 = 0 + -612.5 Combine like terms: 612.5 + -612.5 = 0.0 0.0 + -35x + x2 = 0 + -612.5 -35x + x2 = 0 + -612.5 Combine like terms: 0 + -612.5 = -612.5 -35x + x2 = -612.5 The x term is -35x. Take half its coefficient (-17.5). Square it (306.25) and add it to both sides. Add '306.25' to each side of the equation. -35x + 306.25 + x2 = -612.5 + 306.25 Reorder the terms: 306.25 + -35x + x2 = -612.5 + 306.25 Combine like terms: -612.5 + 306.25 = -306.25 306.25 + -35x + x2 = -306.25 Factor a perfect square on the left side: (x + -17.5)(x + -17.5) = -306.25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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