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Simplifying 9m2 + 3m = -10 Reorder the terms: 3m + 9m2 = -10 Solving 3m + 9m2 = -10 Solving for variable 'm'. Reorder the terms: 10 + 3m + 9m2 = -10 + 10 Combine like terms: -10 + 10 = 0 10 + 3m + 9m2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 1.111111111 + 0.3333333333m + m2 = 0 Move the constant term to the right: Add '-1.111111111' to each side of the equation. 1.111111111 + 0.3333333333m + -1.111111111 + m2 = 0 + -1.111111111 Reorder the terms: 1.111111111 + -1.111111111 + 0.3333333333m + m2 = 0 + -1.111111111 Combine like terms: 1.111111111 + -1.111111111 = 0.000000000 0.000000000 + 0.3333333333m + m2 = 0 + -1.111111111 0.3333333333m + m2 = 0 + -1.111111111 Combine like terms: 0 + -1.111111111 = -1.111111111 0.3333333333m + m2 = -1.111111111 The m term is 0.3333333333m. Take half its coefficient (0.1666666667). Square it (0.02777777779) and add it to both sides. Add '0.02777777779' to each side of the equation. 0.3333333333m + 0.02777777779 + m2 = -1.111111111 + 0.02777777779 Reorder the terms: 0.02777777779 + 0.3333333333m + m2 = -1.111111111 + 0.02777777779 Combine like terms: -1.111111111 + 0.02777777779 = -1.08333333321 0.02777777779 + 0.3333333333m + m2 = -1.08333333321 Factor a perfect square on the left side: (m + 0.1666666667)(m + 0.1666666667) = -1.08333333321 Can't calculate square root of the right side. The solution to this equation could not be determined.
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