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