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Simplifying y2 + 35 = 8y Reorder the terms: 35 + y2 = 8y Solving 35 + y2 = 8y Solving for variable 'y'. Reorder the terms: 35 + -8y + y2 = 8y + -8y Combine like terms: 8y + -8y = 0 35 + -8y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-35' to each side of the equation. 35 + -8y + -35 + y2 = 0 + -35 Reorder the terms: 35 + -35 + -8y + y2 = 0 + -35 Combine like terms: 35 + -35 = 0 0 + -8y + y2 = 0 + -35 -8y + y2 = 0 + -35 Combine like terms: 0 + -35 = -35 -8y + y2 = -35 The y term is -8y. Take half its coefficient (-4). Square it (16) and add it to both sides. Add '16' to each side of the equation. -8y + 16 + y2 = -35 + 16 Reorder the terms: 16 + -8y + y2 = -35 + 16 Combine like terms: -35 + 16 = -19 16 + -8y + y2 = -19 Factor a perfect square on the left side: (y + -4)(y + -4) = -19 Can't calculate square root of the right side. The solution to this equation could not be determined.
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