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21 August, 17:03

3x^2 = 75x

solve the quadratic equation by factoring.

show steps!

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Answers (2)
  1. 21 August, 18:35
    0
    x = 0 or 25

    Step-by-step explanation:

    In general, solving a polynomial by factoring requires it be put in the form ...

    f (x) = 0

    Here, we do that by subtracting the right side:

    3x^2 - 75x = 0

    Factoring gives ...

    3x (x - 25) = 0

    The zero product rule says the product can only be zero if one or more of the factors is zero. That will happen when ...

    x = 0 or x = 25

    The solutions are x = 0 or x = 25.
  2. 21 August, 20:57
    0
    3x² = 75x

    3x²-75x = 0

    3x (x-25) = 0

    Thus:

    3x = 0

    x = 0/3

    and

    x-25 = 0

    x = 0 + 25

    x = 25
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