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Simplifying y4 + -12y2 + 45 = 0 Reorder the terms: 45 + -12y2 + y4 = 0 Solving 45 + -12y2 + y4 = 0 Solving for variable 'y'. Begin completing the square. Move the constant term to the right: Add '-45' to each side of the equation. 45 + -12y2 + -45 + y4 = 0 + -45 Reorder the terms: 45 + -45 + -12y2 + y4 = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -12y2 + y4 = 0 + -45 -12y2 + y4 = 0 + -45 Combine like terms: 0 + -45 = -45 -12y2 + y4 = -45 The y term is -12y2. Take half its coefficient (-6). Square it (36) and add it to both sides. Add '36' to each side of the equation. -12y2 + 36 + y4 = -45 + 36 Reorder the terms: 36 + -12y2 + y4 = -45 + 36 Combine like terms: -45 + 36 = -9 36 + -12y2 + y4 = -9 Factor a perfect square on the left side: (y2 + -6)(y2 + -6) = -9 Can't calculate square root of the right side. The solution to this equation could not be determined.
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