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Simplifying m4 + m2n2 + n4 = 0 Reorder the terms: m2n2 + m4 + n4 = 0 Solving m2n2 + m4 + n4 = 0 Solving for variable 'm'. Begin completing the square. Move the constant term to the right: Add '-1n4' to each side of the equation. m2n2 + m4 + n4 + -1n4 = 0 + -1n4 Combine like terms: n4 + -1n4 = 0 m2n2 + m4 + 0 = 0 + -1n4 m2n2 + m4 = 0 + -1n4 Remove the zero: m2n2 + m4 = -1n4 The m term is m2n2. Take half its coefficient (0.5n2). Square it (0.25n4) and add it to both sides. Add '0.25n4' to each side of the equation. m2n2 + m4 + 0.25n4 = -1n4 + 0.25n4 Combine like terms: -1n4 + 0.25n4 = -0.75n4 m2n2 + m4 + 0.25n4 = -0.75n4 Factor a perfect square on the left side: (m2 + 0.5n2)(m2 + 0.5n2) = -0.75n4 Can't calculate square root of the right side. The solution to this equation could not be determined.
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