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15 April, 15:29

Solutions to equation x^2 + x - 30 = 12 using zero product property

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  1. 15 April, 16:23
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    Our solutions are x = - 7, x=6

    Step-by-step explanation:

    x²+x-30=12

    First we calculate the constants:

    x²+x-30-12=0

    x²+x-42=0

    Now split the middle term:

    x²+7x-6x-42=0

    x (x+7) - 6 (x+7) = 0

    (x+7) (x-6) = 0

    As we know that:

    a. b=0

    ⇒either a=0 or b=0

    (x+7) = 0, (x-6) = 0

    x=0-7, x=0+6

    x = - 7, x=6

    So our solutions are x = - 7, x=6 ...
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