Question 215104
{{{ax^2+bx=0}}} Start with the given equation.



{{{x(ax+b)=0}}} Factor out the GCF 'x'



{{{x=0}}} or {{{ax+b=0}}} Set each factor equal to zero.



{{{x=0}}} or {{{ax=-b}}} Subtract 'b' from both sides (for the second equation).



{{{x=0}}} or {{{x=-b/a}}} Divide both sides by 'a' to isolate 'x' (on the second equation)



So the solutions are {{{x=0}}} or {{{x=-b/a}}}