SOLUTION: 14x squared=7x

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Question 1205036: 14x squared=7x
Found 2 solutions by mananth, ikleyn:
Answer by mananth(16946) (Show Source):
You can put this solution on YOUR website!
14x squared=7x

Divide both sides by x

14x =7
x =7/14= 1/2
x = 1/2

Answer by ikleyn(52910) (Show Source):
You can put this solution on YOUR website!
.

= 7x - 7x = 0 7x*(2x-1) = 0. The roots are x= 0 and x= = 0.5. ANSWER. The solutions to this equation are x= 0 and x= = 0.5.

Solved.

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The solution in the post by @mananth is INCORRECT,
since he/she lost one of the two solutions.

Dividing both sides by x is allowed only if you are sure that x is not zero.
Otherwise, it is a mathematical CRIME.

If you are not sure whether x can be zero, you must analyze this case separately.

An alternative way to dividing both sides by x is to make factoring,
as I made it in my solution - then it is safe way to solve.