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Simplifying x4 + 144 = 4x2 Reorder the terms: 144 + x4 = 4x2 Solving 144 + x4 = 4x2 Solving for variable 'x'. Reorder the terms: 144 + -4x2 + x4 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 144 + -4x2 + x4 = 0 Begin completing the square. Move the constant term to the right: Add '-144' to each side of the equation. 144 + -4x2 + -144 + x4 = 0 + -144 Reorder the terms: 144 + -144 + -4x2 + x4 = 0 + -144 Combine like terms: 144 + -144 = 0 0 + -4x2 + x4 = 0 + -144 -4x2 + x4 = 0 + -144 Combine like terms: 0 + -144 = -144 -4x2 + x4 = -144 The x term is -4x2. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4x2 + 4 + x4 = -144 + 4 Reorder the terms: 4 + -4x2 + x4 = -144 + 4 Combine like terms: -144 + 4 = -140 4 + -4x2 + x4 = -140 Factor a perfect square on the left side: (x2 + -2)(x2 + -2) = -140 Can't calculate square root of the right side. The solution to this equation could not be determined.
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