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Simplifying m2 + 6m + 16 = 0 Reorder the terms: 16 + 6m + m2 = 0 Solving 16 + 6m + m2 = 0 Solving for variable 'm'. Begin completing the square. Move the constant term to the right: Add '-16' to each side of the equation. 16 + 6m + -16 + m2 = 0 + -16 Reorder the terms: 16 + -16 + 6m + m2 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 6m + m2 = 0 + -16 6m + m2 = 0 + -16 Combine like terms: 0 + -16 = -16 6m + m2 = -16 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 = -16 + 9 Reorder the terms: 9 + 6m + m2 = -16 + 9 Combine like terms: -16 + 9 = -7 9 + 6m + m2 = -7 Factor a perfect square on the left side: (m + 3)(m + 3) = -7 Can't calculate square root of the right side. The solution to this equation could not be determined.
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