Question 985906
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x^2(x-1/5)-x(x-1/5)+12/49(x-1/5)=0
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Part 1:
(x-1/5)(x^2-x+12/49)=0
x-1/5=0 -OR- (x^2-x+12/49)=0  
x=1/5 -OR- x^2-x+12/49=0 
ANSWER 1: x=1/5
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Complete the square for Part 2:
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{{{x^2-x+(12/49)=0}}} 
{{{x^2-x=-(12/49)}}}
{{{x^2-x+1/4=-(12/49)+1/4}}}
{{{(x-1/2)^2=1/196}}}
{{{sqrt((x-1/2)^2)=sqrt(1/196)}}}
{{{x-1/2=1/14}}} -OR- {{{x-1/2=-1/14}}}
{{{x=8/14}}} -OR- {{{x=6/14}}}
{{{x=4/7}}} -OR- {{{x=3/7}}}
ANSWER 2: x=4/7 or x=3/7
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FINAL ANSWER: x=1/5, 4/7, or 3/7