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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.

    © BrainMass Inc. brainmass.com October 5, 2022, 5:31 pm ad1c9bdddf
    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.

    $2.49

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