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Simplifying 2y2 + -7y + 140 = 0 Reorder the terms: 140 + -7y + 2y2 = 0 Solving 140 + -7y + 2y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 70 + -3.5y + y2 = 0 Move the constant term to the right: Add '-70' to each side of the equation. 70 + -3.5y + -70 + y2 = 0 + -70 Reorder the terms: 70 + -70 + -3.5y + y2 = 0 + -70 Combine like terms: 70 + -70 = 0 0 + -3.5y + y2 = 0 + -70 -3.5y + y2 = 0 + -70 Combine like terms: 0 + -70 = -70 -3.5y + y2 = -70 The y term is -3.5y. Take half its coefficient (-1.75). Square it (3.0625) and add it to both sides. Add '3.0625' to each side of the equation. -3.5y + 3.0625 + y2 = -70 + 3.0625 Reorder the terms: 3.0625 + -3.5y + y2 = -70 + 3.0625 Combine like terms: -70 + 3.0625 = -66.9375 3.0625 + -3.5y + y2 = -66.9375 Factor a perfect square on the left side: (y + -1.75)(y + -1.75) = -66.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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