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Simplifying 2x2 + -15x + 120 = 0 Reorder the terms: 120 + -15x + 2x2 = 0 Solving 120 + -15x + 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'. 60 + -7.5x + x2 = 0 Move the constant term to the right: Add '-60' to each side of the equation. 60 + -7.5x + -60 + x2 = 0 + -60 Reorder the terms: 60 + -60 + -7.5x + x2 = 0 + -60 Combine like terms: 60 + -60 = 0 0 + -7.5x + x2 = 0 + -60 -7.5x + x2 = 0 + -60 Combine like terms: 0 + -60 = -60 -7.5x + x2 = -60 The x term is -7.5x. Take half its coefficient (-3.75). Square it (14.0625) and add it to both sides. Add '14.0625' to each side of the equation. -7.5x + 14.0625 + x2 = -60 + 14.0625 Reorder the terms: 14.0625 + -7.5x + x2 = -60 + 14.0625 Combine like terms: -60 + 14.0625 = -45.9375 14.0625 + -7.5x + x2 = -45.9375 Factor a perfect square on the left side: (x + -3.75)(x + -3.75) = -45.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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