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(x-1)(5x+1)=0

Solve the equation

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Lauren B. | Improving Dubuque's Math Skills One Student at a TimeImproving Dubuque's Math Skills One Stud...
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Since this is already factored and set equal to zero, we can use the zero product property. In other words, we take each factor and set it equal to zero:

x-1=0 and 5x+1=0.

Now all that is left to do is solve each piece (move the number to the other side and then get x alone by dividing). Both answers you get for x are your final answer.