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Simplifying m2 + 6m + 10 = 0 Reorder the terms: 10 + 6m + m2 = 0 Solving 10 + 6m + m2 = 0 Solving for variable 'm'. Begin completing the square. Move the constant term to the right: Add '-10' to each side of the equation. 10 + 6m + -10 + m2 = 0 + -10 Reorder the terms: 10 + -10 + 6m + m2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 6m + m2 = 0 + -10 6m + m2 = 0 + -10 Combine like terms: 0 + -10 = -10 6m + m2 = -10 The m term is 6m. Take half its coefficient (3). Square it (9) and add it to both sides. Add '9' to each side of the equation. 6m + 9 + m2 = -10 + 9 Reorder the terms: 9 + 6m + m2 = -10 + 9 Combine like terms: -10 + 9 = -1 9 + 6m + m2 = -1 Factor a perfect square on the left side: (m + 3)(m + 3) = -1 Can't calculate square root of the right side. The solution to this equation could not be determined.
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