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Simplifying 0 = 4m2 + -3m + 9 Reorder the terms: 0 = 9 + -3m + 4m2 Solving 0 = 9 + -3m + 4m2 Solving for variable 'm'. Combine like terms: 0 + -9 = -9 -9 + 3m + -4m2 = 9 + -3m + 4m2 + -9 + 3m + -4m2 Reorder the terms: -9 + 3m + -4m2 = 9 + -9 + -3m + 3m + 4m2 + -4m2 Combine like terms: 9 + -9 = 0 -9 + 3m + -4m2 = 0 + -3m + 3m + 4m2 + -4m2 -9 + 3m + -4m2 = -3m + 3m + 4m2 + -4m2 Combine like terms: -3m + 3m = 0 -9 + 3m + -4m2 = 0 + 4m2 + -4m2 -9 + 3m + -4m2 = 4m2 + -4m2 Combine like terms: 4m2 + -4m2 = 0 -9 + 3m + -4m2 = 0 Begin completing the square. Divide all terms by -4 the coefficient of the squared term: Divide each side by '-4'. 2.25 + -0.75m + m2 = 0 Move the constant term to the right: Add '-2.25' to each side of the equation. 2.25 + -0.75m + -2.25 + m2 = 0 + -2.25 Reorder the terms: 2.25 + -2.25 + -0.75m + m2 = 0 + -2.25 Combine like terms: 2.25 + -2.25 = 0.00 0.00 + -0.75m + m2 = 0 + -2.25 -0.75m + m2 = 0 + -2.25 Combine like terms: 0 + -2.25 = -2.25 -0.75m + m2 = -2.25 The m term is -0.75m. Take half its coefficient (-0.375). Square it (0.140625) and add it to both sides. Add '0.140625' to each side of the equation. -0.75m + 0.140625 + m2 = -2.25 + 0.140625 Reorder the terms: 0.140625 + -0.75m + m2 = -2.25 + 0.140625 Combine like terms: -2.25 + 0.140625 = -2.109375 0.140625 + -0.75m + m2 = -2.109375 Factor a perfect square on the left side: (m + -0.375)(m + -0.375) = -2.109375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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