Search 72,616 tutors
FIND TUTORS
Ask a question
0 0

factor the following equation -30a - 100

Tutors, please sign in to answer this question.

2 Answers

-30 a - 100=
 
 Greatest common factor of terms -30a , 100 is 10
 
   - 30a - 100 = 10 ( 3a - 10)  ( 1)
 
    Factoring is opposite    of the distributive  law
 
      Equation (1) , going  from left to right using distributive law, result in a statement of the right side . 
Factor each term separately down to prime numbers:
 
-30a = -1*2*3*5*a
 
-100 = -1*2*2*5*5
 
The factors they have in common are shown in orange - so factor them out.  The factors in black are what's left of the 30a and 100 after you remove the common factors:
 
-30-100 = (-1*2*3*5*a) + (-1*2*2*5*5)
 
= (-1*2*5)(3*a + 2*5) = (-10)(3a+10)
 
BTW, -30a-100 is an algebraic expression, not an equation.  An equation always has an equal sign (=).