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Simplifying m2 + 38m + 365 = 0 Reorder the terms: 365 + 38m + m2 = 0 Solving 365 + 38m + m2 = 0 Solving for variable 'm'. Begin completing the square. Move the constant term to the right: Add '-365' to each side of the equation. 365 + 38m + -365 + m2 = 0 + -365 Reorder the terms: 365 + -365 + 38m + m2 = 0 + -365 Combine like terms: 365 + -365 = 0 0 + 38m + m2 = 0 + -365 38m + m2 = 0 + -365 Combine like terms: 0 + -365 = -365 38m + m2 = -365 The m term is 38m. Take half its coefficient (19). Square it (361) and add it to both sides. Add '361' to each side of the equation. 38m + 361 + m2 = -365 + 361 Reorder the terms: 361 + 38m + m2 = -365 + 361 Combine like terms: -365 + 361 = -4 361 + 38m + m2 = -4 Factor a perfect square on the left side: (m + 19)(m + 19) = -4 Can't calculate square root of the right side. The solution to this equation could not be determined.
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