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Simplifying 7y2 + 10y + 12 = 0 Reorder the terms: 12 + 10y + 7y2 = 0 Solving 12 + 10y + 7y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 1.714285714 + 1.428571429y + y2 = 0 Move the constant term to the right: Add '-1.714285714' to each side of the equation. 1.714285714 + 1.428571429y + -1.714285714 + y2 = 0 + -1.714285714 Reorder the terms: 1.714285714 + -1.714285714 + 1.428571429y + y2 = 0 + -1.714285714 Combine like terms: 1.714285714 + -1.714285714 = 0.000000000 0.000000000 + 1.428571429y + y2 = 0 + -1.714285714 1.428571429y + y2 = 0 + -1.714285714 Combine like terms: 0 + -1.714285714 = -1.714285714 1.428571429y + y2 = -1.714285714 The y term is 1.428571429y. Take half its coefficient (0.7142857145). Square it (0.5102040819) and add it to both sides. Add '0.5102040819' to each side of the equation. 1.428571429y + 0.5102040819 + y2 = -1.714285714 + 0.5102040819 Reorder the terms: 0.5102040819 + 1.428571429y + y2 = -1.714285714 + 0.5102040819 Combine like terms: -1.714285714 + 0.5102040819 = -1.2040816321 0.5102040819 + 1.428571429y + y2 = -1.2040816321 Factor a perfect square on the left side: (y + 0.7142857145)(y + 0.7142857145) = -1.2040816321 Can't calculate square root of the right side. The solution to this equation could not be determined.
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