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# factor the following equation -30a - 100

factor the following equation
-30 a - 100 what is the answer

### 2 Answers by Expert Tutors

Parviz F. | Mathematics professor at Community CollegesMathematics professor at Community Colle...
4.8 4.8 (4 lesson ratings) (4)
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-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 .
Philip P. | Effective and Affordable Math TutorEffective and Affordable Math Tutor
4.9 4.9 (408 lesson ratings) (408)
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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 (=).