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Simplifying 5m2 + -12m + 26 = 0 Reorder the terms: 26 + -12m + 5m2 = 0 Solving 26 + -12m + 5m2 = 0 Solving for variable 'm'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 5.2 + -2.4m + m2 = 0 Move the constant term to the right: Add '-5.2' to each side of the equation. 5.2 + -2.4m + -5.2 + m2 = 0 + -5.2 Reorder the terms: 5.2 + -5.2 + -2.4m + m2 = 0 + -5.2 Combine like terms: 5.2 + -5.2 = 0.0 0.0 + -2.4m + m2 = 0 + -5.2 -2.4m + m2 = 0 + -5.2 Combine like terms: 0 + -5.2 = -5.2 -2.4m + m2 = -5.2 The m term is -2.4m. Take half its coefficient (-1.2). Square it (1.44) and add it to both sides. Add '1.44' to each side of the equation. -2.4m + 1.44 + m2 = -5.2 + 1.44 Reorder the terms: 1.44 + -2.4m + m2 = -5.2 + 1.44 Combine like terms: -5.2 + 1.44 = -3.76 1.44 + -2.4m + m2 = -3.76 Factor a perfect square on the left side: (m + -1.2)(m + -1.2) = -3.76 Can't calculate square root of the right side. The solution to this equation could not be determined.
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