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Simplifying x2 + -35x + 313 = 0 Reorder the terms: 313 + -35x + x2 = 0 Solving 313 + -35x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-313' to each side of the equation. 313 + -35x + -313 + x2 = 0 + -313 Reorder the terms: 313 + -313 + -35x + x2 = 0 + -313 Combine like terms: 313 + -313 = 0 0 + -35x + x2 = 0 + -313 -35x + x2 = 0 + -313 Combine like terms: 0 + -313 = -313 -35x + x2 = -313 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 = -313 + 306.25 Reorder the terms: 306.25 + -35x + x2 = -313 + 306.25 Combine like terms: -313 + 306.25 = -6.75 306.25 + -35x + x2 = -6.75 Factor a perfect square on the left side: (x + -17.5)(x + -17.5) = -6.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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