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Simplifying 7m2 + -4m + -3m2 + 10.5 = 0 Reorder the terms: 10.5 + -4m + 7m2 + -3m2 = 0 Combine like terms: 7m2 + -3m2 = 4m2 10.5 + -4m + 4m2 = 0 Solving 10.5 + -4m + 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'. 2.625 + -1m + m2 = 0 Move the constant term to the right: Add '-2.625' to each side of the equation. 2.625 + -1m + -2.625 + m2 = 0 + -2.625 Reorder the terms: 2.625 + -2.625 + -1m + m2 = 0 + -2.625 Combine like terms: 2.625 + -2.625 = 0.000 0.000 + -1m + m2 = 0 + -2.625 -1m + m2 = 0 + -2.625 Combine like terms: 0 + -2.625 = -2.625 -1m + m2 = -2.625 The m term is -1m. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1m + 0.25 + m2 = -2.625 + 0.25 Reorder the terms: 0.25 + -1m + m2 = -2.625 + 0.25 Combine like terms: -2.625 + 0.25 = -2.375 0.25 + -1m + m2 = -2.375 Factor a perfect square on the left side: (m + -0.5)(m + -0.5) = -2.375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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