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Simplifying y2 + -4y + 4 = -100 Reorder the terms: 4 + -4y + y2 = -100 Solving 4 + -4y + y2 = -100 Solving for variable 'y'. Reorder the terms: 4 + 100 + -4y + y2 = -100 + 100 Combine like terms: 4 + 100 = 104 104 + -4y + y2 = -100 + 100 Combine like terms: -100 + 100 = 0 104 + -4y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-104' to each side of the equation. 104 + -4y + -104 + y2 = 0 + -104 Reorder the terms: 104 + -104 + -4y + y2 = 0 + -104 Combine like terms: 104 + -104 = 0 0 + -4y + y2 = 0 + -104 -4y + y2 = 0 + -104 Combine like terms: 0 + -104 = -104 -4y + y2 = -104 The y term is -4y. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4y + 4 + y2 = -104 + 4 Reorder the terms: 4 + -4y + y2 = -104 + 4 Combine like terms: -104 + 4 = -100 4 + -4y + y2 = -100 Factor a perfect square on the left side: (y + -2)(y + -2) = -100 Can't calculate square root of the right side. The solution to this equation could not be determined.
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