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Simplifying m2 + 6m = -11 Reorder the terms: 6m + m2 = -11 Solving 6m + m2 = -11 Solving for variable 'm'. Reorder the terms: 11 + 6m + m2 = -11 + 11 Combine like terms: -11 + 11 = 0 11 + 6m + m2 = 0 Begin completing the square. Move the constant term to the right: Add '-11' to each side of the equation. 11 + 6m + -11 + m2 = 0 + -11 Reorder the terms: 11 + -11 + 6m + m2 = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 6m + m2 = 0 + -11 6m + m2 = 0 + -11 Combine like terms: 0 + -11 = -11 6m + m2 = -11 The m term is 6m. Take half its coefficient (3). Square it (9) and add it to both sides. Add '9' to each side of the equation. 6m + 9 + m2 = -11 + 9 Reorder the terms: 9 + 6m + m2 = -11 + 9 Combine like terms: -11 + 9 = -2 9 + 6m + m2 = -2 Factor a perfect square on the left side: (m + 3)(m + 3) = -2 Can't calculate square root of the right side. The solution to this equation could not be determined.
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