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Simplifying m2 + 21 = m Reorder the terms: 21 + m2 = m Solving 21 + m2 = m Solving for variable 'm'. Reorder the terms: 21 + -1m + m2 = m + -1m Combine like terms: m + -1m = 0 21 + -1m + m2 = 0 Begin completing the square. Move the constant term to the right: Add '-21' to each side of the equation. 21 + -1m + -21 + m2 = 0 + -21 Reorder the terms: 21 + -21 + -1m + m2 = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -1m + m2 = 0 + -21 -1m + m2 = 0 + -21 Combine like terms: 0 + -21 = -21 -1m + m2 = -21 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 = -21 + 0.25 Reorder the terms: 0.25 + -1m + m2 = -21 + 0.25 Combine like terms: -21 + 0.25 = -20.75 0.25 + -1m + m2 = -20.75 Factor a perfect square on the left side: (m + -0.5)(m + -0.5) = -20.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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