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Simplifying m2 + -12m + 69 = 0 Reorder the terms: 69 + -12m + m2 = 0 Solving 69 + -12m + m2 = 0 Solving for variable 'm'. Begin completing the square. Move the constant term to the right: Add '-69' to each side of the equation. 69 + -12m + -69 + m2 = 0 + -69 Reorder the terms: 69 + -69 + -12m + m2 = 0 + -69 Combine like terms: 69 + -69 = 0 0 + -12m + m2 = 0 + -69 -12m + m2 = 0 + -69 Combine like terms: 0 + -69 = -69 -12m + m2 = -69 The m term is -12m. Take half its coefficient (-6). Square it (36) and add it to both sides. Add '36' to each side of the equation. -12m + 36 + m2 = -69 + 36 Reorder the terms: 36 + -12m + m2 = -69 + 36 Combine like terms: -69 + 36 = -33 36 + -12m + m2 = -33 Factor a perfect square on the left side: (m + -6)(m + -6) = -33 Can't calculate square root of the right side. The solution to this equation could not be determined.
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