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Simplifying 4m2 + -3m + 17 = 0 Reorder the terms: 17 + -3m + 4m2 = 0 Solving 17 + -3m + 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'. 4.25 + -0.75m + m2 = 0 Move the constant term to the right: Add '-4.25' to each side of the equation. 4.25 + -0.75m + -4.25 + m2 = 0 + -4.25 Reorder the terms: 4.25 + -4.25 + -0.75m + m2 = 0 + -4.25 Combine like terms: 4.25 + -4.25 = 0.00 0.00 + -0.75m + m2 = 0 + -4.25 -0.75m + m2 = 0 + -4.25 Combine like terms: 0 + -4.25 = -4.25 -0.75m + m2 = -4.25 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 = -4.25 + 0.140625 Reorder the terms: 0.140625 + -0.75m + m2 = -4.25 + 0.140625 Combine like terms: -4.25 + 0.140625 = -4.109375 0.140625 + -0.75m + m2 = -4.109375 Factor a perfect square on the left side: (m + -0.375)(m + -0.375) = -4.109375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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