SOLUTION: please solve the equation. directions i was given: solve the following equation for x. {{{ (x+5)(3x-2)(23x)=0 }}} thank you

Algebra ->  Equations -> SOLUTION: please solve the equation. directions i was given: solve the following equation for x. {{{ (x+5)(3x-2)(23x)=0 }}} thank you      Log On


   

Question 174720: please solve the equation.
directions i was given:

solve the following equation for x.
+%28x%2B5%29%283x-2%29%2823x%29=0+
thank you
Found 2 solutions by Mathtut, jim_thompson5910:
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
x+5=0--->x=-5
3x-2=0--->3x=2--->x=2/3
23x=0--->x=0
:
system%28x=-5%2Cx=2%2F3%2Cx=0%29
:

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%28x%2B5%29%283x-2%29%2823x%29=0 Start with the given equation



Now set each factor equal to zero (by use of the zero product property):


x%2B5=0, 3x-2=0 or 23x=0


Now solve for x for each factor:


x=-5, x=2%2F3 or x=0


So the solutions of %28x%2B5%29%283x-2%29%2823x%29=0 are x=-5, x=2%2F3 or x=0