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Simplifying 3m2 + -2m + 3 = 0 Reorder the terms: 3 + -2m + 3m2 = 0 Solving 3 + -2m + 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'. 1 + -0.6666666667m + m2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + -0.6666666667m + -1 + m2 = 0 + -1 Reorder the terms: 1 + -1 + -0.6666666667m + m2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -0.6666666667m + m2 = 0 + -1 -0.6666666667m + m2 = 0 + -1 Combine like terms: 0 + -1 = -1 -0.6666666667m + m2 = -1 The m term is -0.6666666667m. Take half its coefficient (-0.3333333334). Square it (0.1111111112) and add it to both sides. Add '0.1111111112' to each side of the equation. -0.6666666667m + 0.1111111112 + m2 = -1 + 0.1111111112 Reorder the terms: 0.1111111112 + -0.6666666667m + m2 = -1 + 0.1111111112 Combine like terms: -1 + 0.1111111112 = -0.8888888888 0.1111111112 + -0.6666666667m + m2 = -0.8888888888 Factor a perfect square on the left side: (m + -0.3333333334)(m + -0.3333333334) = -0.8888888888 Can't calculate square root of the right side. The solution to this equation could not be determined.
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