Question 195658
I'm assuming that the equation should be {{{(2x+5)(5x-5)=0}}}




{{{(2x+5)(5x-5)=0}}} Start with the given equation




Now set each factor equal to zero using the zero-product property:


{{{2x+5=0}}} or  {{{5x-5=0}}} 



Let's solve the first equation {{{2x+5=0}}}:



{{{2x+5=0}}} Start with the first equation.



{{{2x=0-5}}} Subtract {{{5}}} from both sides.



{{{2x=-5}}} Combine like terms on the right side.



{{{x=-5/2}}} Divide both sides by {{{2}}} to isolate {{{x}}}.



So the first solution is {{{x=-5/2}}}


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Now let's solve the second equation {{{5x-5=0}}}



{{{5x-5=0}}} Start with the second equation.



{{{5x=0+5}}} Add {{{5}}} to both sides.



{{{5x=5}}} Combine like terms on the right side.



{{{x=(5)/(5)}}} Divide both sides by {{{5}}} to isolate {{{x}}}.



{{{x=1}}} Reduce.



So the second solution is {{{x=1}}}




So the solutions are {{{x=-5/2}}} or {{{x=1}}}