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Simplifying (3m + -2) + (m2 + 2m + -26) + (10 + -3m2) + (10 + -2m2) = 0 Reorder the terms: (-2 + 3m) + (m2 + 2m + -26) + (10 + -3m2) + (10 + -2m2) = 0 Remove parenthesis around (-2 + 3m) -2 + 3m + (m2 + 2m + -26) + (10 + -3m2) + (10 + -2m2) = 0 Reorder the terms: -2 + 3m + (-26 + 2m + m2) + (10 + -3m2) + (10 + -2m2) = 0 Remove parenthesis around (-26 + 2m + m2) -2 + 3m + -26 + 2m + m2 + (10 + -3m2) + (10 + -2m2) = 0 Remove parenthesis around (10 + -3m2) -2 + 3m + -26 + 2m + m2 + 10 + -3m2 + (10 + -2m2) = 0 Remove parenthesis around (10 + -2m2) -2 + 3m + -26 + 2m + m2 + 10 + -3m2 + 10 + -2m2 = 0 Reorder the terms: -2 + -26 + 10 + 10 + 3m + 2m + m2 + -3m2 + -2m2 = 0 Combine like terms: -2 + -26 = -28 -28 + 10 + 10 + 3m + 2m + m2 + -3m2 + -2m2 = 0 Combine like terms: -28 + 10 = -18 -18 + 10 + 3m + 2m + m2 + -3m2 + -2m2 = 0 Combine like terms: -18 + 10 = -8 -8 + 3m + 2m + m2 + -3m2 + -2m2 = 0 Combine like terms: 3m + 2m = 5m -8 + 5m + m2 + -3m2 + -2m2 = 0 Combine like terms: m2 + -3m2 = -2m2 -8 + 5m + -2m2 + -2m2 = 0 Combine like terms: -2m2 + -2m2 = -4m2 -8 + 5m + -4m2 = 0 Solving -8 + 5m + -4m2 = 0 Solving for variable 'm'. Begin completing the square. Divide all terms by -4 the coefficient of the squared term: Divide each side by '-4'. 2 + -1.25m + m2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + -1.25m + -2 + m2 = 0 + -2 Reorder the terms: 2 + -2 + -1.25m + m2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1.25m + m2 = 0 + -2 -1.25m + m2 = 0 + -2 Combine like terms: 0 + -2 = -2 -1.25m + m2 = -2 The m term is -1.25m. Take half its coefficient (-0.625). Square it (0.390625) and add it to both sides. Add '0.390625' to each side of the equation. -1.25m + 0.390625 + m2 = -2 + 0.390625 Reorder the terms: 0.390625 + -1.25m + m2 = -2 + 0.390625 Combine like terms: -2 + 0.390625 = -1.609375 0.390625 + -1.25m + m2 = -1.609375 Factor a perfect square on the left side: (m + -0.625)(m + -0.625) = -1.609375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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