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Simplifying m4 + m2 + 4 = 0 Reorder the terms: 4 + m2 + m4 = 0 Solving 4 + m2 + m4 = 0 Solving for variable 'm'. Begin completing the square. Move the constant term to the right: Add '-4' to each side of the equation. 4 + m2 + -4 + m4 = 0 + -4 Reorder the terms: 4 + -4 + m2 + m4 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + m2 + m4 = 0 + -4 m2 + m4 = 0 + -4 Combine like terms: 0 + -4 = -4 m2 + m4 = -4 The m term is m2. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. m2 + 0.25 + m4 = -4 + 0.25 Reorder the terms: 0.25 + m2 + m4 = -4 + 0.25 Combine like terms: -4 + 0.25 = -3.75 0.25 + m2 + m4 = -3.75 Factor a perfect square on the left side: (m2 + 0.5)(m2 + 0.5) = -3.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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