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Simplifying m2 + 14m + 94 = 0 Reorder the terms: 94 + 14m + m2 = 0 Solving 94 + 14m + m2 = 0 Solving for variable 'm'. Begin completing the square. Move the constant term to the right: Add '-94' to each side of the equation. 94 + 14m + -94 + m2 = 0 + -94 Reorder the terms: 94 + -94 + 14m + m2 = 0 + -94 Combine like terms: 94 + -94 = 0 0 + 14m + m2 = 0 + -94 14m + m2 = 0 + -94 Combine like terms: 0 + -94 = -94 14m + m2 = -94 The m term is 14m. Take half its coefficient (7). Square it (49) and add it to both sides. Add '49' to each side of the equation. 14m + 49 + m2 = -94 + 49 Reorder the terms: 49 + 14m + m2 = -94 + 49 Combine like terms: -94 + 49 = -45 49 + 14m + m2 = -45 Factor a perfect square on the left side: (m + 7)(m + 7) = -45 Can't calculate square root of the right side. The solution to this equation could not be determined.
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