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Simplifying x4 + 16 + 36 = 15x2 + -60 Reorder the terms: 16 + 36 + x4 = 15x2 + -60 Combine like terms: 16 + 36 = 52 52 + x4 = 15x2 + -60 Reorder the terms: 52 + x4 = -60 + 15x2 Solving 52 + x4 = -60 + 15x2 Solving for variable 'x'. Reorder the terms: 52 + 60 + -15x2 + x4 = -60 + 15x2 + 60 + -15x2 Combine like terms: 52 + 60 = 112 112 + -15x2 + x4 = -60 + 15x2 + 60 + -15x2 Reorder the terms: 112 + -15x2 + x4 = -60 + 60 + 15x2 + -15x2 Combine like terms: -60 + 60 = 0 112 + -15x2 + x4 = 0 + 15x2 + -15x2 112 + -15x2 + x4 = 15x2 + -15x2 Combine like terms: 15x2 + -15x2 = 0 112 + -15x2 + x4 = 0 Begin completing the square. Move the constant term to the right: Add '-112' to each side of the equation. 112 + -15x2 + -112 + x4 = 0 + -112 Reorder the terms: 112 + -112 + -15x2 + x4 = 0 + -112 Combine like terms: 112 + -112 = 0 0 + -15x2 + x4 = 0 + -112 -15x2 + x4 = 0 + -112 Combine like terms: 0 + -112 = -112 -15x2 + x4 = -112 The x term is -15x2. Take half its coefficient (-7.5). Square it (56.25) and add it to both sides. Add '56.25' to each side of the equation. -15x2 + 56.25 + x4 = -112 + 56.25 Reorder the terms: 56.25 + -15x2 + x4 = -112 + 56.25 Combine like terms: -112 + 56.25 = -55.75 56.25 + -15x2 + x4 = -55.75 Factor a perfect square on the left side: (x2 + -7.5)(x2 + -7.5) = -55.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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