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Simplifying 5y2 + 9 = 3y Reorder the terms: 9 + 5y2 = 3y Solving 9 + 5y2 = 3y Solving for variable 'y'. Reorder the terms: 9 + -3y + 5y2 = 3y + -3y Combine like terms: 3y + -3y = 0 9 + -3y + 5y2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 1.8 + -0.6y + y2 = 0 Move the constant term to the right: Add '-1.8' to each side of the equation. 1.8 + -0.6y + -1.8 + y2 = 0 + -1.8 Reorder the terms: 1.8 + -1.8 + -0.6y + y2 = 0 + -1.8 Combine like terms: 1.8 + -1.8 = 0.0 0.0 + -0.6y + y2 = 0 + -1.8 -0.6y + y2 = 0 + -1.8 Combine like terms: 0 + -1.8 = -1.8 -0.6y + y2 = -1.8 The y term is -0.6y. Take half its coefficient (-0.3). Square it (0.09) and add it to both sides. Add '0.09' to each side of the equation. -0.6y + 0.09 + y2 = -1.8 + 0.09 Reorder the terms: 0.09 + -0.6y + y2 = -1.8 + 0.09 Combine like terms: -1.8 + 0.09 = -1.71 0.09 + -0.6y + y2 = -1.71 Factor a perfect square on the left side: (y + -0.3)(y + -0.3) = -1.71 Can't calculate square root of the right side. The solution to this equation could not be determined.
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