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Simplifying m2 + 5m = -11 Reorder the terms: 5m + m2 = -11 Solving 5m + m2 = -11 Solving for variable 'm'. Reorder the terms: 11 + 5m + m2 = -11 + 11 Combine like terms: -11 + 11 = 0 11 + 5m + m2 = 0 Begin completing the square. Move the constant term to the right: Add '-11' to each side of the equation. 11 + 5m + -11 + m2 = 0 + -11 Reorder the terms: 11 + -11 + 5m + m2 = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 5m + m2 = 0 + -11 5m + m2 = 0 + -11 Combine like terms: 0 + -11 = -11 5m + m2 = -11 The m term is 5m. Take half its coefficient (2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. 5m + 6.25 + m2 = -11 + 6.25 Reorder the terms: 6.25 + 5m + m2 = -11 + 6.25 Combine like terms: -11 + 6.25 = -4.75 6.25 + 5m + m2 = -4.75 Factor a perfect square on the left side: (m + 2.5)(m + 2.5) = -4.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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