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Simplifying 5m2 + -3m + 3 = 2 Reorder the terms: 3 + -3m + 5m2 = 2 Solving 3 + -3m + 5m2 = 2 Solving for variable 'm'. Reorder the terms: 3 + -2 + -3m + 5m2 = 2 + -2 Combine like terms: 3 + -2 = 1 1 + -3m + 5m2 = 2 + -2 Combine like terms: 2 + -2 = 0 1 + -3m + 5m2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 0.2 + -0.6m + m2 = 0 Move the constant term to the right: Add '-0.2' to each side of the equation. 0.2 + -0.6m + -0.2 + m2 = 0 + -0.2 Reorder the terms: 0.2 + -0.2 + -0.6m + m2 = 0 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + -0.6m + m2 = 0 + -0.2 -0.6m + m2 = 0 + -0.2 Combine like terms: 0 + -0.2 = -0.2 -0.6m + m2 = -0.2 The m term is -0.6m. Take half its coefficient (-0.3). Square it (0.09) and add it to both sides. Add '0.09' to each side of the equation. -0.6m + 0.09 + m2 = -0.2 + 0.09 Reorder the terms: 0.09 + -0.6m + m2 = -0.2 + 0.09 Combine like terms: -0.2 + 0.09 = -0.11 0.09 + -0.6m + m2 = -0.11 Factor a perfect square on the left side: (m + -0.3)(m + -0.3) = -0.11 Can't calculate square root of the right side. The solution to this equation could not be determined.
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