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Simplifying m2 + 15m + 100 = 0 Reorder the terms: 100 + 15m + m2 = 0 Solving 100 + 15m + m2 = 0 Solving for variable 'm'. Begin completing the square. Move the constant term to the right: Add '-100' to each side of the equation. 100 + 15m + -100 + m2 = 0 + -100 Reorder the terms: 100 + -100 + 15m + m2 = 0 + -100 Combine like terms: 100 + -100 = 0 0 + 15m + m2 = 0 + -100 15m + m2 = 0 + -100 Combine like terms: 0 + -100 = -100 15m + m2 = -100 The m term is 15m. Take half its coefficient (7.5). Square it (56.25) and add it to both sides. Add '56.25' to each side of the equation. 15m + 56.25 + m2 = -100 + 56.25 Reorder the terms: 56.25 + 15m + m2 = -100 + 56.25 Combine like terms: -100 + 56.25 = -43.75 56.25 + 15m + m2 = -43.75 Factor a perfect square on the left side: (m + 7.5)(m + 7.5) = -43.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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