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Simplifying -40 = 5m2 + -2m + 30 Reorder the terms: -40 = 30 + -2m + 5m2 Solving -40 = 30 + -2m + 5m2 Solving for variable 'm'. Combine like terms: -40 + -30 = -70 -70 + 2m + -5m2 = 30 + -2m + 5m2 + -30 + 2m + -5m2 Reorder the terms: -70 + 2m + -5m2 = 30 + -30 + -2m + 2m + 5m2 + -5m2 Combine like terms: 30 + -30 = 0 -70 + 2m + -5m2 = 0 + -2m + 2m + 5m2 + -5m2 -70 + 2m + -5m2 = -2m + 2m + 5m2 + -5m2 Combine like terms: -2m + 2m = 0 -70 + 2m + -5m2 = 0 + 5m2 + -5m2 -70 + 2m + -5m2 = 5m2 + -5m2 Combine like terms: 5m2 + -5m2 = 0 -70 + 2m + -5m2 = 0 Begin completing the square. Divide all terms by -5 the coefficient of the squared term: Divide each side by '-5'. 14 + -0.4m + m2 = 0 Move the constant term to the right: Add '-14' to each side of the equation. 14 + -0.4m + -14 + m2 = 0 + -14 Reorder the terms: 14 + -14 + -0.4m + m2 = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -0.4m + m2 = 0 + -14 -0.4m + m2 = 0 + -14 Combine like terms: 0 + -14 = -14 -0.4m + m2 = -14 The m term is -0.4m. Take half its coefficient (-0.2). Square it (0.04) and add it to both sides. Add '0.04' to each side of the equation. -0.4m + 0.04 + m2 = -14 + 0.04 Reorder the terms: 0.04 + -0.4m + m2 = -14 + 0.04 Combine like terms: -14 + 0.04 = -13.96 0.04 + -0.4m + m2 = -13.96 Factor a perfect square on the left side: (m + -0.2)(m + -0.2) = -13.96 Can't calculate square root of the right side. The solution to this equation could not be determined.
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