Question 115568: solve equation.
x^2-14x=0
Answer by bucky(2189)   (Show Source):
You can put this solution on YOUR website! Probably the easiest way to solve this equation is by factoring. Since both terms on the left
side contain an x, you can factor out an x to give:
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x*(x - 14) = 0
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This equation will be true if either of the factors on the left side are zero because a
multiplication by zero on the left side will make the left side equal the zero on the right side.
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So we can get the two answers by setting each of the factors equal to zero.
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For the first factor equal to zero we have:
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x = 0 and that is one answer.
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For the second factor equal to zero we have:
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x - 14 = 0
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And if we add 14 to both sides we get:
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x = 14 and that is the second answer.
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Check ... go to the original equation x^2 - 14x = 0 and substitute 0 for x. The result is:
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0 - 0 = 0
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and that is a correct equation, so the answer x = 0 checks.
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Return to the original equation x^2 - 14x = 0 and substitute 14 for x. When you do you get:
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14^2 - 14*14 = 0
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and since 14^2 = 14*14 the equation becomes:
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14*14 - 14*14 = 0
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This also is a correct equation so the answer x = 14 checks.
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Hope this helps you to understand the problem.
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