Question 210187


{{{z^2-5z-14=0}}} Start with the given equation


{{{(z-7)(z+2)=0}}} Factor the left side (note: if you need help with factoring, check out this <a href=http://www.algebra.com/algebra/homework/playground/change-this-name4450.solver>solver</a>)




Now set each factor equal to zero:

{{{z-7=0}}} or  {{{z+2=0}}} 


{{{z=7}}} or  {{{z=-2}}}    Now solve for z in each case



So our answers are 


 {{{z=7}}} or  {{{z=-2}}}