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Simplifying 0.5m + 0.5m(m + -0.4) = -1.4 Reorder the terms: 0.5m + 0.5m(-0.4 + m) = -1.4 0.5m + (-0.4 * 0.5m + m * 0.5m) = -1.4 0.5m + (-0.2m + 0.5m2) = -1.4 Combine like terms: 0.5m + -0.2m = 0.3m 0.3m + 0.5m2 = -1.4 Solving 0.3m + 0.5m2 = -1.4 Solving for variable 'm'. Reorder the terms: 1.4 + 0.3m + 0.5m2 = -1.4 + 1.4 Combine like terms: -1.4 + 1.4 = 0.0 1.4 + 0.3m + 0.5m2 = 0.0 Begin completing the square. Divide all terms by 0.5 the coefficient of the squared term: Divide each side by '0.5'. 2.8 + 0.6m + m2 = 0 Move the constant term to the right: Add '-2.8' to each side of the equation. 2.8 + 0.6m + -2.8 + m2 = 0 + -2.8 Reorder the terms: 2.8 + -2.8 + 0.6m + m2 = 0 + -2.8 Combine like terms: 2.8 + -2.8 = 0.0 0.0 + 0.6m + m2 = 0 + -2.8 0.6m + m2 = 0 + -2.8 Combine like terms: 0 + -2.8 = -2.8 0.6m + m2 = -2.8 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 = -2.8 + 0.09 Reorder the terms: 0.09 + 0.6m + m2 = -2.8 + 0.09 Combine like terms: -2.8 + 0.09 = -2.71 0.09 + 0.6m + m2 = -2.71 Factor a perfect square on the left side: (m + 0.3)(m + 0.3) = -2.71 Can't calculate square root of the right side. The solution to this equation could not be determined.
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