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Simplifying 3m2 + 10 = 3m Reorder the terms: 10 + 3m2 = 3m Solving 10 + 3m2 = 3m Solving for variable 'm'. Reorder the terms: 10 + -3m + 3m2 = 3m + -3m Combine like terms: 3m + -3m = 0 10 + -3m + 3m2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 3.333333333 + -1m + m2 = 0 Move the constant term to the right: Add '-3.333333333' to each side of the equation. 3.333333333 + -1m + -3.333333333 + m2 = 0 + -3.333333333 Reorder the terms: 3.333333333 + -3.333333333 + -1m + m2 = 0 + -3.333333333 Combine like terms: 3.333333333 + -3.333333333 = 0.000000000 0.000000000 + -1m + m2 = 0 + -3.333333333 -1m + m2 = 0 + -3.333333333 Combine like terms: 0 + -3.333333333 = -3.333333333 -1m + m2 = -3.333333333 The m term is -1m. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1m + 0.25 + m2 = -3.333333333 + 0.25 Reorder the terms: 0.25 + -1m + m2 = -3.333333333 + 0.25 Combine like terms: -3.333333333 + 0.25 = -3.083333333 0.25 + -1m + m2 = -3.083333333 Factor a perfect square on the left side: (m + -0.5)(m + -0.5) = -3.083333333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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