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Simplifying 4 + 10 + -3m + m2 = 0 Combine like terms: 4 + 10 = 14 14 + -3m + m2 = 0 Solving 14 + -3m + m2 = 0 Solving for variable 'm'. Begin completing the square. Move the constant term to the right: Add '-14' to each side of the equation. 14 + -3m + -14 + m2 = 0 + -14 Reorder the terms: 14 + -14 + -3m + m2 = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -3m + m2 = 0 + -14 -3m + m2 = 0 + -14 Combine like terms: 0 + -14 = -14 -3m + m2 = -14 The m term is -3m. Take half its coefficient (-1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. -3m + 2.25 + m2 = -14 + 2.25 Reorder the terms: 2.25 + -3m + m2 = -14 + 2.25 Combine like terms: -14 + 2.25 = -11.75 2.25 + -3m + m2 = -11.75 Factor a perfect square on the left side: (m + -1.5)(m + -1.5) = -11.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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