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Simplifying x4 + -8x2 + 64 = 0 Reorder the terms: 64 + -8x2 + x4 = 0 Solving 64 + -8x2 + x4 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-64' to each side of the equation. 64 + -8x2 + -64 + x4 = 0 + -64 Reorder the terms: 64 + -64 + -8x2 + x4 = 0 + -64 Combine like terms: 64 + -64 = 0 0 + -8x2 + x4 = 0 + -64 -8x2 + x4 = 0 + -64 Combine like terms: 0 + -64 = -64 -8x2 + x4 = -64 The x term is -8x2. Take half its coefficient (-4). Square it (16) and add it to both sides. Add '16' to each side of the equation. -8x2 + 16 + x4 = -64 + 16 Reorder the terms: 16 + -8x2 + x4 = -64 + 16 Combine like terms: -64 + 16 = -48 16 + -8x2 + x4 = -48 Factor a perfect square on the left side: (x2 + -4)(x2 + -4) = -48 Can't calculate square root of the right side. The solution to this equation could not be determined.
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