SOLUTION: Solve for X: X^2(x-1/5)-x(x-1/5)+12/49(x-1/5)=0

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Question 985906: Solve for X:
X^2(x-1/5)-x(x-1/5)+12/49(x-1/5)=0
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
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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%5E2-x%2B%2812%2F49%29=0
x%5E2-x=-%2812%2F49%29
x%5E2-x%2B1%2F4=-%2812%2F49%29%2B1%2F4
%28x-1%2F2%29%5E2=1%2F196
sqrt%28%28x-1%2F2%29%5E2%29=sqrt%281%2F196%29
x-1%2F2=1%2F14 -OR- x-1%2F2=-1%2F14
x=8%2F14 -OR- x=6%2F14
x=4%2F7 -OR- x=3%2F7
ANSWER 2: x=4/7 or x=3/7
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FINAL ANSWER: x=1/5, 4/7, or 3/7