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Simplifying 5m2 = 7m + -7 Reorder the terms: 5m2 = -7 + 7m Solving 5m2 = -7 + 7m Solving for variable 'm'. Reorder the terms: 7 + -7m + 5m2 = -7 + 7m + 7 + -7m Reorder the terms: 7 + -7m + 5m2 = -7 + 7 + 7m + -7m Combine like terms: -7 + 7 = 0 7 + -7m + 5m2 = 0 + 7m + -7m 7 + -7m + 5m2 = 7m + -7m Combine like terms: 7m + -7m = 0 7 + -7m + 5m2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 1.4 + -1.4m + m2 = 0 Move the constant term to the right: Add '-1.4' to each side of the equation. 1.4 + -1.4m + -1.4 + m2 = 0 + -1.4 Reorder the terms: 1.4 + -1.4 + -1.4m + m2 = 0 + -1.4 Combine like terms: 1.4 + -1.4 = 0.0 0.0 + -1.4m + m2 = 0 + -1.4 -1.4m + m2 = 0 + -1.4 Combine like terms: 0 + -1.4 = -1.4 -1.4m + m2 = -1.4 The m term is -1.4m. Take half its coefficient (-0.7). Square it (0.49) and add it to both sides. Add '0.49' to each side of the equation. -1.4m + 0.49 + m2 = -1.4 + 0.49 Reorder the terms: 0.49 + -1.4m + m2 = -1.4 + 0.49 Combine like terms: -1.4 + 0.49 = -0.91 0.49 + -1.4m + m2 = -0.91 Factor a perfect square on the left side: (m + -0.7)(m + -0.7) = -0.91 Can't calculate square root of the right side. The solution to this equation could not be determined.
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