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Simplifying 2x2 + -35x + 225 = 0 Reorder the terms: 225 + -35x + 2x2 = 0 Solving 225 + -35x + 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'. 112.5 + -17.5x + x2 = 0 Move the constant term to the right: Add '-112.5' to each side of the equation. 112.5 + -17.5x + -112.5 + x2 = 0 + -112.5 Reorder the terms: 112.5 + -112.5 + -17.5x + x2 = 0 + -112.5 Combine like terms: 112.5 + -112.5 = 0.0 0.0 + -17.5x + x2 = 0 + -112.5 -17.5x + x2 = 0 + -112.5 Combine like terms: 0 + -112.5 = -112.5 -17.5x + x2 = -112.5 The x term is -17.5x. Take half its coefficient (-8.75). Square it (76.5625) and add it to both sides. Add '76.5625' to each side of the equation. -17.5x + 76.5625 + x2 = -112.5 + 76.5625 Reorder the terms: 76.5625 + -17.5x + x2 = -112.5 + 76.5625 Combine like terms: -112.5 + 76.5625 = -35.9375 76.5625 + -17.5x + x2 = -35.9375 Factor a perfect square on the left side: (x + -8.75)(x + -8.75) = -35.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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