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can you solve this equation?

2a^2=7a

thanks!

8 Answers

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  • 1 decade ago
    Favorite Answer

    2a² = 7a

    2a² - 7a = 0

    a(2a - 7) = 0

    a = 0

    (2a - 7) = 0

    2a = 7

    a = 7/2

    a = {0, 7/2}

  • Anonymous
    1 decade ago

    I am assuming you are just learning factoring. First subtract the 7a from the left to the right side. The quation now looks like: 2a^2 - 7a = 0. At this point, factor out one 'a' from each term. The equation looks like:

    a(2a - 7) = 0. There are two possible answer to this problem. Notice that if either a or 2a - 7 is equal to 0, the equation is satisfied. So, now there are 2 mini equations. the first is a = 0, and 2a - 7 = 0. So solve each, the first is already done, the second's answer is a = 7/2. Both are correct

  • 1 decade ago

    First get the term you're solving for on one side, so divide each side by a:

    (2a^2)/a=(7a)/a

    Now we have the equation 2a=7, and we want to get a by itself, so you divide each side by 2

    (2a)/2=7/2

    and we get the result

    a=7/2

  • 1 decade ago

    2a^2 = 7a

    2a^2/a = 7

    2a = 7

    a = 7/2

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  • Anonymous
    1 decade ago

    2a²-7a=0

    a(2a-7)=0

    a=0 or 2a-7=0

    a=0, 7/2

  • Rob
    Lv 4
    1 decade ago

    4a^2=7a

    a^2=(7/4)a

    From here it is guess and check.

    I checked a few times, and eventually came up with 1.75. So show a few wrong checks, and then.

    1.75^2=3.0625

    (7/4)1.75=3.0625

    a=1.75

  • Bart
    Lv 4
    1 decade ago

    first off u have to divide by 2 on each side. so u get a^2=3.5a. then u divide by a and u get a = 3.5. think thats wat it would be

  • 1 decade ago

    a = 7/2

    you are welcome to give me 10 points any day now.

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