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When given an equation how can you determine if it will have no solution

User NeedHack
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An equation that has no solution is one that leads to a false statement, that is, a result that is impossible to be true.

For example:


3(x+5)=3x+11

If you solve it for x you'll get the following result:


\begin{gathered} 3x+15=3x+11 \\ 3x-3x+15=11 \\ 15=11 \end{gathered}

The result of this equality is impossible and has no solution.

The symbol used to indicate that an equation has no solution is ∅

User Jordan Daniels
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