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Investments in Marketable Securities and Unconsolidated Entities - Narrative (Details) (USD $)
3 Months Ended 12 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Sep. 30, 2014
Schedule of Equity Method Investments [Line Items]      
Available-for-sale Securities $ 26,000,000us-gaap_AvailableForSaleSecurities    
Unrealized gain related to available-for-sale securities 206,000us-gaap_MarketableSecuritiesUnrealizedGainLoss 0us-gaap_MarketableSecuritiesUnrealizedGainLoss  
Inspirada      
Schedule of Equity Method Investments [Line Items]      
Settlement of unconsolidated entity debt obligation     (1,000,000)bzh_SettlementOfUnconsolidatedJvDebtObligation
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= bzh_InspiradaMember
Joint Venture Obligation 5,700,000bzh_JointVentureObligation
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= bzh_InspiradaMember
   
Financial Guarantee      
Schedule of Equity Method Investments [Line Items]      
Guarantor Obligations, Current Carrying Value $ 0us-gaap_GuaranteeObligationsCurrentCarryingValue
/ us-gaap_GuaranteeObligationsByNatureAxis
= us-gaap_FinancialGuaranteeMember
  $ 0us-gaap_GuaranteeObligationsCurrentCarryingValue
/ us-gaap_GuaranteeObligationsByNatureAxis
= us-gaap_FinancialGuaranteeMember