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Simplifying m2 + -8m + 41 = 0 Reorder the terms: 41 + -8m + m2 = 0 Solving 41 + -8m + m2 = 0 Solving for variable 'm'. Begin completing the square. Move the constant term to the right: Add '-41' to each side of the equation. 41 + -8m + -41 + m2 = 0 + -41 Reorder the terms: 41 + -41 + -8m + m2 = 0 + -41 Combine like terms: 41 + -41 = 0 0 + -8m + m2 = 0 + -41 -8m + m2 = 0 + -41 Combine like terms: 0 + -41 = -41 -8m + m2 = -41 The m term is -8m. Take half its coefficient (-4). Square it (16) and add it to both sides. Add '16' to each side of the equation. -8m + 16 + m2 = -41 + 16 Reorder the terms: 16 + -8m + m2 = -41 + 16 Combine like terms: -41 + 16 = -25 16 + -8m + m2 = -25 Factor a perfect square on the left side: (m + -4)(m + -4) = -25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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