Question 150313
2x^2-4x=0
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Begin by factoring the left.
Do this by terming the largest common factor -- happens to be 2x:
(2x)(x-2)=0
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Now, if either (2x) OR (x-2) equals zero, the entire left side would be zero making the statement true.
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Therefore, your two solutions are found by setting both terms to zero and solving for 'x':
solution 1:
2x = 0
x = 0
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solution 2:
x-2 = 0
x = 2
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Solution set:
x = {0, 2}