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Simplifying 7m = 324 + 36 + m2 Combine like terms: 324 + 36 = 360 7m = 360 + m2 Solving 7m = 360 + m2 Solving for variable 'm'. Reorder the terms: -360 + 7m + -1m2 = 360 + m2 + -360 + -1m2 Reorder the terms: -360 + 7m + -1m2 = 360 + -360 + m2 + -1m2 Combine like terms: 360 + -360 = 0 -360 + 7m + -1m2 = 0 + m2 + -1m2 -360 + 7m + -1m2 = m2 + -1m2 Combine like terms: m2 + -1m2 = 0 -360 + 7m + -1m2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 360 + -7m + m2 = 0 Move the constant term to the right: Add '-360' to each side of the equation. 360 + -7m + -360 + m2 = 0 + -360 Reorder the terms: 360 + -360 + -7m + m2 = 0 + -360 Combine like terms: 360 + -360 = 0 0 + -7m + m2 = 0 + -360 -7m + m2 = 0 + -360 Combine like terms: 0 + -360 = -360 -7m + m2 = -360 The m term is -7m. Take half its coefficient (-3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. -7m + 12.25 + m2 = -360 + 12.25 Reorder the terms: 12.25 + -7m + m2 = -360 + 12.25 Combine like terms: -360 + 12.25 = -347.75 12.25 + -7m + m2 = -347.75 Factor a perfect square on the left side: (m + -3.5)(m + -3.5) = -347.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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