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Simplifying m2 + 2m = -35 Reorder the terms: 2m + m2 = -35 Solving 2m + m2 = -35 Solving for variable 'm'. Reorder the terms: 35 + 2m + m2 = -35 + 35 Combine like terms: -35 + 35 = 0 35 + 2m + m2 = 0 Begin completing the square. Move the constant term to the right: Add '-35' to each side of the equation. 35 + 2m + -35 + m2 = 0 + -35 Reorder the terms: 35 + -35 + 2m + m2 = 0 + -35 Combine like terms: 35 + -35 = 0 0 + 2m + m2 = 0 + -35 2m + m2 = 0 + -35 Combine like terms: 0 + -35 = -35 2m + m2 = -35 The m term is 2m. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2m + 1 + m2 = -35 + 1 Reorder the terms: 1 + 2m + m2 = -35 + 1 Combine like terms: -35 + 1 = -34 1 + 2m + m2 = -34 Factor a perfect square on the left side: (m + 1)(m + 1) = -34 Can't calculate square root of the right side. The solution to this equation could not be determined.
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