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Simplifying (5y2 + 3) + (6y + 4) = 0 Reorder the terms: (3 + 5y2) + (6y + 4) = 0 Remove parenthesis around (3 + 5y2) 3 + 5y2 + (6y + 4) = 0 Reorder the terms: 3 + 5y2 + (4 + 6y) = 0 Remove parenthesis around (4 + 6y) 3 + 5y2 + 4 + 6y = 0 Reorder the terms: 3 + 4 + 6y + 5y2 = 0 Combine like terms: 3 + 4 = 7 7 + 6y + 5y2 = 0 Solving 7 + 6y + 5y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 1.4 + 1.2y + y2 = 0 Move the constant term to the right: Add '-1.4' to each side of the equation. 1.4 + 1.2y + -1.4 + y2 = 0 + -1.4 Reorder the terms: 1.4 + -1.4 + 1.2y + y2 = 0 + -1.4 Combine like terms: 1.4 + -1.4 = 0.0 0.0 + 1.2y + y2 = 0 + -1.4 1.2y + y2 = 0 + -1.4 Combine like terms: 0 + -1.4 = -1.4 1.2y + y2 = -1.4 The y term is 1.2y. Take half its coefficient (0.6). Square it (0.36) and add it to both sides. Add '0.36' to each side of the equation. 1.2y + 0.36 + y2 = -1.4 + 0.36 Reorder the terms: 0.36 + 1.2y + y2 = -1.4 + 0.36 Combine like terms: -1.4 + 0.36 = -1.04 0.36 + 1.2y + y2 = -1.04 Factor a perfect square on the left side: (y + 0.6)(y + 0.6) = -1.04 Can't calculate square root of the right side. The solution to this equation could not be determined.
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