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Simplifying 2m2 + 3m + -5m2 + 4m + -5 = 4 Reorder the terms: -5 + 3m + 4m + 2m2 + -5m2 = 4 Combine like terms: 3m + 4m = 7m -5 + 7m + 2m2 + -5m2 = 4 Combine like terms: 2m2 + -5m2 = -3m2 -5 + 7m + -3m2 = 4 Solving -5 + 7m + -3m2 = 4 Solving for variable 'm'. Reorder the terms: -5 + -4 + 7m + -3m2 = 4 + -4 Combine like terms: -5 + -4 = -9 -9 + 7m + -3m2 = 4 + -4 Combine like terms: 4 + -4 = 0 -9 + 7m + -3m2 = 0 Begin completing the square. Divide all terms by -3 the coefficient of the squared term: Divide each side by '-3'. 3 + -2.333333333m + m2 = 0 Move the constant term to the right: Add '-3' to each side of the equation. 3 + -2.333333333m + -3 + m2 = 0 + -3 Reorder the terms: 3 + -3 + -2.333333333m + m2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2.333333333m + m2 = 0 + -3 -2.333333333m + m2 = 0 + -3 Combine like terms: 0 + -3 = -3 -2.333333333m + m2 = -3 The m term is -2.333333333m. Take half its coefficient (-1.166666667). Square it (1.361111112) and add it to both sides. Add '1.361111112' to each side of the equation. -2.333333333m + 1.361111112 + m2 = -3 + 1.361111112 Reorder the terms: 1.361111112 + -2.333333333m + m2 = -3 + 1.361111112 Combine like terms: -3 + 1.361111112 = -1.638888888 1.361111112 + -2.333333333m + m2 = -1.638888888 Factor a perfect square on the left side: (m + -1.166666667)(m + -1.166666667) = -1.638888888 Can't calculate square root of the right side. The solution to this equation could not be determined.
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