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Simplifying m2 + 18m + 81 = m Reorder the terms: 81 + 18m + m2 = m Solving 81 + 18m + m2 = m Solving for variable 'm'. Reorder the terms: 81 + 18m + -1m + m2 = m + -1m Combine like terms: 18m + -1m = 17m 81 + 17m + m2 = m + -1m Combine like terms: m + -1m = 0 81 + 17m + m2 = 0 Begin completing the square. Move the constant term to the right: Add '-81' to each side of the equation. 81 + 17m + -81 + m2 = 0 + -81 Reorder the terms: 81 + -81 + 17m + m2 = 0 + -81 Combine like terms: 81 + -81 = 0 0 + 17m + m2 = 0 + -81 17m + m2 = 0 + -81 Combine like terms: 0 + -81 = -81 17m + m2 = -81 The m term is 17m. Take half its coefficient (8.5). Square it (72.25) and add it to both sides. Add '72.25' to each side of the equation. 17m + 72.25 + m2 = -81 + 72.25 Reorder the terms: 72.25 + 17m + m2 = -81 + 72.25 Combine like terms: -81 + 72.25 = -8.75 72.25 + 17m + m2 = -8.75 Factor a perfect square on the left side: (m + 8.5)(m + 8.5) = -8.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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