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# Algebra : Solve Equations, Factor Monomials and Find Greatest Common Factor

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Solve each equation by performing the same inverse operations to both sides and show steps.

1- 42+7x=0

2- -13r-92=77
3- 757=25n+132

4- x/4-13 =15

5- -13m-348=-23

6- t/13-56=-72

7- 47=-18+ y/8.2

8- -21+a/4=3.4
9- 240=-2.1-6h
10- 3(x+1)=9
11-17-k=-99
12- 6{1/3+m}=20
13- 2(10+x)+4(12-x)=34

Factor the monomial

A- 12 to the power of 2 yz b- 81n to the power of 3 m to the power of 2

Find the gcf

20 x to the power of 2 y to the power of 4, 60xy to the power of 7

64n to the power of 2 m to the power of 7, 80n to the power of 5 m to the power of 5.

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https://brainmass.com/math/basic-algebra/solve-equations-factor-monomials-find-greatest-common-factor-63973

#### Solution Preview

1- 42+7x=0
(42+7x)-42=0-42
7x=-42
x=-42/7
x=-6

2- -13r-92=77
-13r=77+92=169
r=169/(-13)
r=-13

3- 757=25n+132
25n+132=757
25n=757-132=625
n=625/25
n=25

4- x/4-13 =15
x/4=15+13=28
x=4*28
x=112

5- -13m-348=-23
-13m=-23+348=325
m=325/(-13)
...

#### Solution Summary

Solving equations, factoring monomials and finding greatest common factor (GCF) are investigated are discussed.

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