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Simplifying 10m2 + -7m + 24 = 0 Reorder the terms: 24 + -7m + 10m2 = 0 Solving 24 + -7m + 10m2 = 0 Solving for variable 'm'. Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 2.4 + -0.7m + m2 = 0 Move the constant term to the right: Add '-2.4' to each side of the equation. 2.4 + -0.7m + -2.4 + m2 = 0 + -2.4 Reorder the terms: 2.4 + -2.4 + -0.7m + m2 = 0 + -2.4 Combine like terms: 2.4 + -2.4 = 0.0 0.0 + -0.7m + m2 = 0 + -2.4 -0.7m + m2 = 0 + -2.4 Combine like terms: 0 + -2.4 = -2.4 -0.7m + m2 = -2.4 The m term is -0.7m. Take half its coefficient (-0.35). Square it (0.1225) and add it to both sides. Add '0.1225' to each side of the equation. -0.7m + 0.1225 + m2 = -2.4 + 0.1225 Reorder the terms: 0.1225 + -0.7m + m2 = -2.4 + 0.1225 Combine like terms: -2.4 + 0.1225 = -2.2775 0.1225 + -0.7m + m2 = -2.2775 Factor a perfect square on the left side: (m + -0.35)(m + -0.35) = -2.2775 Can't calculate square root of the right side. The solution to this equation could not be determined.
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