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Simplifying y2 = 6y + -10 Reorder the terms: y2 = -10 + 6y Solving y2 = -10 + 6y Solving for variable 'y'. Reorder the terms: 10 + -6y + y2 = -10 + 6y + 10 + -6y Reorder the terms: 10 + -6y + y2 = -10 + 10 + 6y + -6y Combine like terms: -10 + 10 = 0 10 + -6y + y2 = 0 + 6y + -6y 10 + -6y + y2 = 6y + -6y Combine like terms: 6y + -6y = 0 10 + -6y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-10' to each side of the equation. 10 + -6y + -10 + y2 = 0 + -10 Reorder the terms: 10 + -10 + -6y + y2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -6y + y2 = 0 + -10 -6y + y2 = 0 + -10 Combine like terms: 0 + -10 = -10 -6y + y2 = -10 The y term is -6y. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6y + 9 + y2 = -10 + 9 Reorder the terms: 9 + -6y + y2 = -10 + 9 Combine like terms: -10 + 9 = -1 9 + -6y + y2 = -1 Factor a perfect square on the left side: (y + -3)(y + -3) = -1 Can't calculate square root of the right side. The solution to this equation could not be determined.
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