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Simplifying (5y)(5y) + 17y + 14 = 0 Remove parenthesis around (5y) 5y(5y) + 17y + 14 = 0 Remove parenthesis around (5y) 5y * 5y + 17y + 14 = 0 Reorder the terms for easier multiplication: 5 * 5y * y + 17y + 14 = 0 Multiply 5 * 5 25y * y + 17y + 14 = 0 Multiply y * y 25y2 + 17y + 14 = 0 Reorder the terms: 14 + 17y + 25y2 = 0 Solving 14 + 17y + 25y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 25 the coefficient of the squared term: Divide each side by '25'. 0.56 + 0.68y + y2 = 0 Move the constant term to the right: Add '-0.56' to each side of the equation. 0.56 + 0.68y + -0.56 + y2 = 0 + -0.56 Reorder the terms: 0.56 + -0.56 + 0.68y + y2 = 0 + -0.56 Combine like terms: 0.56 + -0.56 = 0.00 0.00 + 0.68y + y2 = 0 + -0.56 0.68y + y2 = 0 + -0.56 Combine like terms: 0 + -0.56 = -0.56 0.68y + y2 = -0.56 The y term is 0.68y. Take half its coefficient (0.34). Square it (0.1156) and add it to both sides. Add '0.1156' to each side of the equation. 0.68y + 0.1156 + y2 = -0.56 + 0.1156 Reorder the terms: 0.1156 + 0.68y + y2 = -0.56 + 0.1156 Combine like terms: -0.56 + 0.1156 = -0.4444 0.1156 + 0.68y + y2 = -0.4444 Factor a perfect square on the left side: (y + 0.34)(y + 0.34) = -0.4444 Can't calculate square root of the right side. The solution to this equation could not be determined.
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