Fuse where? Circuit breaker? fuse in the furnace? if a circuit breaker tripped on the furnace due to you washing clothes than you may need an electrician to separate the line circuits if they're being shared.
may have blown 2 fuses...check them again....furnace may have caused fuse to blow same time washer running..either way..could be burnt out motor in one of the units... so after you replace all defective fuses they may blow again..leave washer off make sure all fuses good and try furnace again.somewhere to start...
You better call a pro on this one. You may have over load fuse box and maybe some wiring problems. This is not worth doing something totally wrong and start a fire.
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