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Simplifying 21cm2 = (n + 3cm)(n + -8cm) Reorder the terms: 21cm2 = (3cm + n)(n + -8cm) Reorder the terms: 21cm2 = (3cm + n)(-8cm + n) Multiply (3cm + n) * (-8cm + n) 21cm2 = (3cm * (-8cm + n) + n(-8cm + n)) 21cm2 = ((-8cm * 3cm + n * 3cm) + n(-8cm + n)) Reorder the terms: 21cm2 = ((3cmn + -24c2m2) + n(-8cm + n)) 21cm2 = ((3cmn + -24c2m2) + n(-8cm + n)) 21cm2 = (3cmn + -24c2m2 + (-8cm * n + n * n)) 21cm2 = (3cmn + -24c2m2 + (-8cmn + n2)) Reorder the terms: 21cm2 = (3cmn + -8cmn + -24c2m2 + n2) Combine like terms: 3cmn + -8cmn = -5cmn 21cm2 = (-5cmn + -24c2m2 + n2) Solving 21cm2 = -5cmn + -24c2m2 + n2 Solving for variable 'c'. Reorder the terms: 5cmn + 21cm2 + 24c2m2 + -1n2 = -5cmn + -24c2m2 + n2 + 5cmn + 24c2m2 + -1n2 Reorder the terms: 5cmn + 21cm2 + 24c2m2 + -1n2 = -5cmn + 5cmn + -24c2m2 + 24c2m2 + n2 + -1n2 Combine like terms: -5cmn + 5cmn = 0 5cmn + 21cm2 + 24c2m2 + -1n2 = 0 + -24c2m2 + 24c2m2 + n2 + -1n2 5cmn + 21cm2 + 24c2m2 + -1n2 = -24c2m2 + 24c2m2 + n2 + -1n2 Combine like terms: -24c2m2 + 24c2m2 = 0 5cmn + 21cm2 + 24c2m2 + -1n2 = 0 + n2 + -1n2 5cmn + 21cm2 + 24c2m2 + -1n2 = n2 + -1n2 Combine like terms: n2 + -1n2 = 0 5cmn + 21cm2 + 24c2m2 + -1n2 = 0 The solution to this equation could not be determined.
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