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Simplifying (-4m2 + 3m + -1) + -1(m + 2) = 0 Reorder the terms: (-1 + 3m + -4m2) + -1(m + 2) = 0 Remove parenthesis around (-1 + 3m + -4m2) -1 + 3m + -4m2 + -1(m + 2) = 0 Reorder the terms: -1 + 3m + -4m2 + -1(2 + m) = 0 -1 + 3m + -4m2 + (2 * -1 + m * -1) = 0 -1 + 3m + -4m2 + (-2 + -1m) = 0 Reorder the terms: -1 + -2 + 3m + -1m + -4m2 = 0 Combine like terms: -1 + -2 = -3 -3 + 3m + -1m + -4m2 = 0 Combine like terms: 3m + -1m = 2m -3 + 2m + -4m2 = 0 Solving -3 + 2m + -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'. 0.75 + -0.5m + m2 = 0 Move the constant term to the right: Add '-0.75' to each side of the equation. 0.75 + -0.5m + -0.75 + m2 = 0 + -0.75 Reorder the terms: 0.75 + -0.75 + -0.5m + m2 = 0 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + -0.5m + m2 = 0 + -0.75 -0.5m + m2 = 0 + -0.75 Combine like terms: 0 + -0.75 = -0.75 -0.5m + m2 = -0.75 The m term is -0.5m. Take half its coefficient (-0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. -0.5m + 0.0625 + m2 = -0.75 + 0.0625 Reorder the terms: 0.0625 + -0.5m + m2 = -0.75 + 0.0625 Combine like terms: -0.75 + 0.0625 = -0.6875 0.0625 + -0.5m + m2 = -0.6875 Factor a perfect square on the left side: (m + -0.25)(m + -0.25) = -0.6875 Can't calculate square root of the right side. The solution to this equation could not be determined.
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