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Simplifying -5m2 + -7 = -3m Reorder the terms: -7 + -5m2 = -3m Solving -7 + -5m2 = -3m Solving for variable 'm'. Reorder the terms: -7 + 3m + -5m2 = -3m + 3m Combine like terms: -3m + 3m = 0 -7 + 3m + -5m2 = 0 Begin completing the square. Divide all terms by -5 the coefficient of the squared term: Divide each side by '-5'. 1.4 + -0.6m + m2 = 0 Move the constant term to the right: Add '-1.4' to each side of the equation. 1.4 + -0.6m + -1.4 + m2 = 0 + -1.4 Reorder the terms: 1.4 + -1.4 + -0.6m + m2 = 0 + -1.4 Combine like terms: 1.4 + -1.4 = 0.0 0.0 + -0.6m + m2 = 0 + -1.4 -0.6m + m2 = 0 + -1.4 Combine like terms: 0 + -1.4 = -1.4 -0.6m + m2 = -1.4 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 = -1.4 + 0.09 Reorder the terms: 0.09 + -0.6m + m2 = -1.4 + 0.09 Combine like terms: -1.4 + 0.09 = -1.31 0.09 + -0.6m + m2 = -1.31 Factor a perfect square on the left side: (m + -0.3)(m + -0.3) = -1.31 Can't calculate square root of the right side. The solution to this equation could not be determined.
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