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Simplifying 5y2 = 6y + -7 Reorder the terms: 5y2 = -7 + 6y Solving 5y2 = -7 + 6y Solving for variable 'y'. Reorder the terms: 7 + -6y + 5y2 = -7 + 6y + 7 + -6y Reorder the terms: 7 + -6y + 5y2 = -7 + 7 + 6y + -6y Combine like terms: -7 + 7 = 0 7 + -6y + 5y2 = 0 + 6y + -6y 7 + -6y + 5y2 = 6y + -6y Combine like terms: 6y + -6y = 0 7 + -6y + 5y2 = 0 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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