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Simplifying y2 + -10y + 25 = -16 Reorder the terms: 25 + -10y + y2 = -16 Solving 25 + -10y + y2 = -16 Solving for variable 'y'. Reorder the terms: 25 + 16 + -10y + y2 = -16 + 16 Combine like terms: 25 + 16 = 41 41 + -10y + y2 = -16 + 16 Combine like terms: -16 + 16 = 0 41 + -10y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-41' to each side of the equation. 41 + -10y + -41 + y2 = 0 + -41 Reorder the terms: 41 + -41 + -10y + y2 = 0 + -41 Combine like terms: 41 + -41 = 0 0 + -10y + y2 = 0 + -41 -10y + y2 = 0 + -41 Combine like terms: 0 + -41 = -41 -10y + y2 = -41 The y term is -10y. Take half its coefficient (-5). Square it (25) and add it to both sides. Add '25' to each side of the equation. -10y + 25 + y2 = -41 + 25 Reorder the terms: 25 + -10y + y2 = -41 + 25 Combine like terms: -41 + 25 = -16 25 + -10y + y2 = -16 Factor a perfect square on the left side: (y + -5)(y + -5) = -16 Can't calculate square root of the right side. The solution to this equation could not be determined.
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