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Simplifying 3(m + -3) + m(5 + -1m) + -1m2 = 0 Reorder the terms: 3(-3 + m) + m(5 + -1m) + -1m2 = 0 (-3 * 3 + m * 3) + m(5 + -1m) + -1m2 = 0 (-9 + 3m) + m(5 + -1m) + -1m2 = 0 -9 + 3m + (5 * m + -1m * m) + -1m2 = 0 -9 + 3m + (5m + -1m2) + -1m2 = 0 Combine like terms: 3m + 5m = 8m -9 + 8m + -1m2 + -1m2 = 0 Combine like terms: -1m2 + -1m2 = -2m2 -9 + 8m + -2m2 = 0 Solving -9 + 8m + -2m2 = 0 Solving for variable 'm'. Begin completing the square. Divide all terms by -2 the coefficient of the squared term: Divide each side by '-2'. 4.5 + -4m + m2 = 0 Move the constant term to the right: Add '-4.5' to each side of the equation. 4.5 + -4m + -4.5 + m2 = 0 + -4.5 Reorder the terms: 4.5 + -4.5 + -4m + m2 = 0 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + -4m + m2 = 0 + -4.5 -4m + m2 = 0 + -4.5 Combine like terms: 0 + -4.5 = -4.5 -4m + m2 = -4.5 The m term is -4m. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4m + 4 + m2 = -4.5 + 4 Reorder the terms: 4 + -4m + m2 = -4.5 + 4 Combine like terms: -4.5 + 4 = -0.5 4 + -4m + m2 = -0.5 Factor a perfect square on the left side: (m + -2)(m + -2) = -0.5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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