Question

solve the equation and check solution
z^2+6z=-5

Answer 1

z^(2)+6z=-5

To set the left-hand side of the equation equal to 0, move all the expressions to the left-hand side.
z^(2)+6z+5=0

In this problem 5*1=5 and 5+1=6, so insert 5 as the right hand term of one factor and 1 as the right-hand term of the other factor.
(z+5)(z+1)=0

z=-5,-1