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Simplifying m2 + 10m + 35 = 0 Reorder the terms: 35 + 10m + m2 = 0 Solving 35 + 10m + m2 = 0 Solving for variable 'm'. Begin completing the square. Move the constant term to the right: Add '-35' to each side of the equation. 35 + 10m + -35 + m2 = 0 + -35 Reorder the terms: 35 + -35 + 10m + m2 = 0 + -35 Combine like terms: 35 + -35 = 0 0 + 10m + m2 = 0 + -35 10m + m2 = 0 + -35 Combine like terms: 0 + -35 = -35 10m + m2 = -35 The m term is 10m. Take half its coefficient (5). Square it (25) and add it to both sides. Add '25' to each side of the equation. 10m + 25 + m2 = -35 + 25 Reorder the terms: 25 + 10m + m2 = -35 + 25 Combine like terms: -35 + 25 = -10 25 + 10m + m2 = -10 Factor a perfect square on the left side: (m + 5)(m + 5) = -10 Can't calculate square root of the right side. The solution to this equation could not be determined.
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