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Simplifying (m + 4)(m + 5) = -8 Reorder the terms: (4 + m)(m + 5) = -8 Reorder the terms: (4 + m)(5 + m) = -8 Multiply (4 + m) * (5 + m) (4(5 + m) + m(5 + m)) = -8 ((5 * 4 + m * 4) + m(5 + m)) = -8 ((20 + 4m) + m(5 + m)) = -8 (20 + 4m + (5 * m + m * m)) = -8 (20 + 4m + (5m + m2)) = -8 Combine like terms: 4m + 5m = 9m (20 + 9m + m2) = -8 Solving 20 + 9m + m2 = -8 Solving for variable 'm'. Reorder the terms: 20 + 8 + 9m + m2 = -8 + 8 Combine like terms: 20 + 8 = 28 28 + 9m + m2 = -8 + 8 Combine like terms: -8 + 8 = 0 28 + 9m + m2 = 0 Begin completing the square. Move the constant term to the right: Add '-28' to each side of the equation. 28 + 9m + -28 + m2 = 0 + -28 Reorder the terms: 28 + -28 + 9m + m2 = 0 + -28 Combine like terms: 28 + -28 = 0 0 + 9m + m2 = 0 + -28 9m + m2 = 0 + -28 Combine like terms: 0 + -28 = -28 9m + m2 = -28 The m term is 9m. Take half its coefficient (4.5). Square it (20.25) and add it to both sides. Add '20.25' to each side of the equation. 9m + 20.25 + m2 = -28 + 20.25 Reorder the terms: 20.25 + 9m + m2 = -28 + 20.25 Combine like terms: -28 + 20.25 = -7.75 20.25 + 9m + m2 = -7.75 Factor a perfect square on the left side: (m + 4.5)(m + 4.5) = -7.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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