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Simplifying m2 + m + 42 = 0 Reorder the terms: 42 + m + m2 = 0 Solving 42 + m + m2 = 0 Solving for variable 'm'. Begin completing the square. Move the constant term to the right: Add '-42' to each side of the equation. 42 + m + -42 + m2 = 0 + -42 Reorder the terms: 42 + -42 + m + m2 = 0 + -42 Combine like terms: 42 + -42 = 0 0 + m + m2 = 0 + -42 m + m2 = 0 + -42 Combine like terms: 0 + -42 = -42 m + m2 = -42 The m term is m. 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. m + 0.25 + m2 = -42 + 0.25 Reorder the terms: 0.25 + m + m2 = -42 + 0.25 Combine like terms: -42 + 0.25 = -41.75 0.25 + m + m2 = -41.75 Factor a perfect square on the left side: (m + 0.5)(m + 0.5) = -41.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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