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19 June, 07:33

The product of a number and five more than twice a number is 75. Find the number numbers

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  1. 19 June, 07:54
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    Assume number = x,

    x (2x+5) = 75

    => 2x^2 + 5x - 75 = 0

    => 2x^2 + 15x - 10x - 75 = 0

    => x (2x+15) - 5 (2x+15) = 0

    => (x-5) (2x+15) = 0

    x = 5, or x = - 15/2
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