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Simplifying 3 + m = 2m(-1m) Remove parenthesis around (-1m) 3 + m = 2m * -1m Reorder the terms for easier multiplication: 3 + m = 2 * -1m * m Multiply 2 * -1 3 + m = -2m * m Multiply m * m 3 + m = -2m2 Solving 3 + m = -2m2 Solving for variable 'm'. Combine like terms: -2m2 + 2m2 = 0 3 + m + 2m2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 1.5 + 0.5m + m2 = 0 Move the constant term to the right: Add '-1.5' to each side of the equation. 1.5 + 0.5m + -1.5 + m2 = 0 + -1.5 Reorder the terms: 1.5 + -1.5 + 0.5m + m2 = 0 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + 0.5m + m2 = 0 + -1.5 0.5m + m2 = 0 + -1.5 Combine like terms: 0 + -1.5 = -1.5 0.5m + m2 = -1.5 The m term is m. 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. 0.5m + 0.25 + m2 = -1.5 + 0.25 Reorder the terms: 0.25 + 0.5m + m2 = -1.5 + 0.25 Combine like terms: -1.5 + 0.25 = -1.25 0.25 + 0.5m + m2 = -1.25 Factor a perfect square on the left side: (m + 0.5)(m + 0.5) = -1.25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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