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Simplifying 4m2 + -13m = -40 Reorder the terms: -13m + 4m2 = -40 Solving -13m + 4m2 = -40 Solving for variable 'm'. Reorder the terms: 40 + -13m + 4m2 = -40 + 40 Combine like terms: -40 + 40 = 0 40 + -13m + 4m2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 10 + -3.25m + m2 = 0 Move the constant term to the right: Add '-10' to each side of the equation. 10 + -3.25m + -10 + m2 = 0 + -10 Reorder the terms: 10 + -10 + -3.25m + m2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -3.25m + m2 = 0 + -10 -3.25m + m2 = 0 + -10 Combine like terms: 0 + -10 = -10 -3.25m + m2 = -10 The m term is -3.25m. Take half its coefficient (-1.625). Square it (2.640625) and add it to both sides. Add '2.640625' to each side of the equation. -3.25m + 2.640625 + m2 = -10 + 2.640625 Reorder the terms: 2.640625 + -3.25m + m2 = -10 + 2.640625 Combine like terms: -10 + 2.640625 = -7.359375 2.640625 + -3.25m + m2 = -7.359375 Factor a perfect square on the left side: (m + -1.625)(m + -1.625) = -7.359375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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