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Simplifying x4 + -16x2 + 225 = 0 Reorder the terms: 225 + -16x2 + x4 = 0 Solving 225 + -16x2 + x4 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-225' to each side of the equation. 225 + -16x2 + -225 + x4 = 0 + -225 Reorder the terms: 225 + -225 + -16x2 + x4 = 0 + -225 Combine like terms: 225 + -225 = 0 0 + -16x2 + x4 = 0 + -225 -16x2 + x4 = 0 + -225 Combine like terms: 0 + -225 = -225 -16x2 + x4 = -225 The x term is -16x2. Take half its coefficient (-8). Square it (64) and add it to both sides. Add '64' to each side of the equation. -16x2 + 64 + x4 = -225 + 64 Reorder the terms: 64 + -16x2 + x4 = -225 + 64 Combine like terms: -225 + 64 = -161 64 + -16x2 + x4 = -161 Factor a perfect square on the left side: (x2 + -8)(x2 + -8) = -161 Can't calculate square root of the right side. The solution to this equation could not be determined.
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