How do you factor and solve #x(2x-1)=0#?

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Answer 1 · 2016-08-01T16:02:30

#x = 0 and x = 1/2#
Factor the equation and solve for each factor separately
#x = 0 and 2x-1 = 0 #

# x= 0" or "2x-1 = 0#

Solve #2x-1 = 0# by working backwards PE SADM
add the opposite of -1 to both sides

#2x - 1 + 1 = 0 + 1#

#( -1 + 1 = 0)#

Divide both sides by 2 the opposite of multiplying by 2

#(2x)/2= 1/2 #

#(2/2 = 1) #

#x =1/2 #

As this equation has two factors with #x#, it has two possible solutions.

The first solution is #x= 0#
The second is #x = 1/2#