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Simplifying 3m2 + 11m + 24 = 0 Reorder the terms: 24 + 11m + 3m2 = 0 Solving 24 + 11m + 3m2 = 0 Solving for variable 'm'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 8 + 3.666666667m + m2 = 0 Move the constant term to the right: Add '-8' to each side of the equation. 8 + 3.666666667m + -8 + m2 = 0 + -8 Reorder the terms: 8 + -8 + 3.666666667m + m2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3.666666667m + m2 = 0 + -8 3.666666667m + m2 = 0 + -8 Combine like terms: 0 + -8 = -8 3.666666667m + m2 = -8 The m term is 3.666666667m. Take half its coefficient (1.833333334). Square it (3.361111114) and add it to both sides. Add '3.361111114' to each side of the equation. 3.666666667m + 3.361111114 + m2 = -8 + 3.361111114 Reorder the terms: 3.361111114 + 3.666666667m + m2 = -8 + 3.361111114 Combine like terms: -8 + 3.361111114 = -4.638888886 3.361111114 + 3.666666667m + m2 = -4.638888886 Factor a perfect square on the left side: (m + 1.833333334)(m + 1.833333334) = -4.638888886 Can't calculate square root of the right side. The solution to this equation could not be determined.
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