What is the solution set to the equation (3x−9)(5x−3)=0?

Question

What is the solution set to the equation (3x−9)(5x−3)=0?

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    0
    2022-01-06T01:34:36+00:00

    This product could be zero if one or both of the parenthesis are zero.
    3x-9=0; 3x=9; x= 3
    5x-3=0; 5x=3; x=3/5

    The solution is { 3/5, 3}

    0
    2022-01-06T01:35:15+00:00

    Answer:

    ({3,\frac{3}{5} })

    Step-by-step explanation:

    Given is an equation in x with two factors on left side and 0 on right side as

    (3x−9)(5x−3)=0

    We know that when product of two factors is zero, then any one of the factors can be 0

    Equate each factor to 0

    (3x−9)=0\\(5x−3)=0\\x=3\\x=\frac{3}{5}

    Thus we have two solutions

    x=3\\

    x=\frac{3}{5}

    Solution set is

    ({3,\frac{3}{5} })

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