Yahoo Answers is shutting down on May 4th, 2021 (Eastern Time) and beginning April 20th, 2021 (Eastern Time) the Yahoo Answers website will be in read-only mode. There will be no changes to other Yahoo properties or services, or your Yahoo account. You can find more information about the Yahoo Answers shutdown and how to download your data on this help page.

Trending News

Promoted
morgan!!
morgan!! asked in Science & MathematicsMathematics · 9 years ago

Can someone solve 3x=12x^2 and explain?

Please help!

5 Answers

Relevance
  • ?
    Lv 7
    9 years ago
    Favorite Answer

    3x(4x-1)=0

    x=0

    x=1/4

    ~David

  • ?
    Lv 7
    9 years ago

    3x = 12x^2

    3x(4x - 1) =0

    Solutions:

    x = 0

    x = 1/4

  • TitoBob
    Lv 7
    9 years ago

    Put in the form of a quadratic equation, 12x^2 - 3x = 0. Factor to get 3x(4x - 1) = 0. So either 3x = 0, in which case x = 0 (divide both sides by 3), or 4x - 1 = 0, in which case x = 1/4 (add 1 to both sides, then divide both sides by 4).

    Source(s): Retired math teacher
  • DWRead
    Lv 7
    9 years ago

    3x = 12x²

    One obvious solution is x = 0.

    To look for other solutions, assume x ≠ 0, then divide both sides by 3x.

    1 = 4x

    x = 1/4

    :::::

    Another way to solve:

    12x² - 3x + 0 = 0

    By the quadratic formula,

    x = [3 ± √(3² - 4·12·0)]/(2·12)

    = [3 ± √(3²)]/24

    = 1/8 ± 1/8

    = 0, 1/4

  • How do you think about the answers? You can sign in to vote the answer.
  • Pranil
    Lv 7
    9 years ago

    12x² = 3x

    12x² – 3x = 0

    3x(4x – 1) = 0

    3x = 0 or (4x – 1) = 0

    x = 0 or x = 1/4

    ----

Still have questions? Get your answers by asking now.