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Simplifying 2x2 + -49x + 360 = 0 Reorder the terms: 360 + -49x + 2x2 = 0 Solving 360 + -49x + 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'. 180 + -24.5x + x2 = 0 Move the constant term to the right: Add '-180' to each side of the equation. 180 + -24.5x + -180 + x2 = 0 + -180 Reorder the terms: 180 + -180 + -24.5x + x2 = 0 + -180 Combine like terms: 180 + -180 = 0 0 + -24.5x + x2 = 0 + -180 -24.5x + x2 = 0 + -180 Combine like terms: 0 + -180 = -180 -24.5x + x2 = -180 The x term is -24.5x. Take half its coefficient (-12.25). Square it (150.0625) and add it to both sides. Add '150.0625' to each side of the equation. -24.5x + 150.0625 + x2 = -180 + 150.0625 Reorder the terms: 150.0625 + -24.5x + x2 = -180 + 150.0625 Combine like terms: -180 + 150.0625 = -29.9375 150.0625 + -24.5x + x2 = -29.9375 Factor a perfect square on the left side: (x + -12.25)(x + -12.25) = -29.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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