Lösung 2.2:3d

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There are no common factors on the left-hand side which we can take out, so we choose to expand the three terms on the left-hand side

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Collecting up terms, the left-hand side becomes

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and because \displaystyle 33=3\cdot 11, \displaystyle 9=3\cdot 3 and \displaystyle 4=2\cdot 2, the whole equation can rewritten as

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Taking out common factors, we get

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and then we see that the equation has the solution \displaystyle x=1/2.

Finally, we substitute \displaystyle x=1/2 into the original equation to check that we have calculated correctly.

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