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Simplifying (m2 + 7m + 89) = 0 Reorder the terms: (89 + 7m + m2) = 0 Remove parenthesis around (89 + 7m + m2) 89 + 7m + m2 = 0 Solving 89 + 7m + m2 = 0 Solving for variable 'm'. Begin completing the square. Move the constant term to the right: Add '-89' to each side of the equation. 89 + 7m + -89 + m2 = 0 + -89 Reorder the terms: 89 + -89 + 7m + m2 = 0 + -89 Combine like terms: 89 + -89 = 0 0 + 7m + m2 = 0 + -89 7m + m2 = 0 + -89 Combine like terms: 0 + -89 = -89 7m + m2 = -89 The m term is 7m. Take half its coefficient (3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. 7m + 12.25 + m2 = -89 + 12.25 Reorder the terms: 12.25 + 7m + m2 = -89 + 12.25 Combine like terms: -89 + 12.25 = -76.75 12.25 + 7m + m2 = -76.75 Factor a perfect square on the left side: (m + 3.5)(m + 3.5) = -76.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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