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Simplifying 12m2 + 9m = -5 Reorder the terms: 9m + 12m2 = -5 Solving 9m + 12m2 = -5 Solving for variable 'm'. Reorder the terms: 5 + 9m + 12m2 = -5 + 5 Combine like terms: -5 + 5 = 0 5 + 9m + 12m2 = 0 Begin completing the square. Divide all terms by 12 the coefficient of the squared term: Divide each side by '12'. 0.4166666667 + 0.75m + m2 = 0 Move the constant term to the right: Add '-0.4166666667' to each side of the equation. 0.4166666667 + 0.75m + -0.4166666667 + m2 = 0 + -0.4166666667 Reorder the terms: 0.4166666667 + -0.4166666667 + 0.75m + m2 = 0 + -0.4166666667 Combine like terms: 0.4166666667 + -0.4166666667 = 0.0000000000 0.0000000000 + 0.75m + m2 = 0 + -0.4166666667 0.75m + m2 = 0 + -0.4166666667 Combine like terms: 0 + -0.4166666667 = -0.4166666667 0.75m + m2 = -0.4166666667 The m term is 0.75m. Take half its coefficient (0.375). Square it (0.140625) and add it to both sides. Add '0.140625' to each side of the equation. 0.75m + 0.140625 + m2 = -0.4166666667 + 0.140625 Reorder the terms: 0.140625 + 0.75m + m2 = -0.4166666667 + 0.140625 Combine like terms: -0.4166666667 + 0.140625 = -0.2760416667 0.140625 + 0.75m + m2 = -0.2760416667 Factor a perfect square on the left side: (m + 0.375)(m + 0.375) = -0.2760416667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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