Mathematics

Question

Using the zero product property to find the solutions to the equation x^2 + x-30= 12

1 Answer

  • first, factor x^2+x-42:
    (x^2-6x)+(7x-42)
    x(x-6)+7(x-6)
    (x+7)(x-6)=0
    solve using zero product property:
    x+7=0
    x=-7
    x-6=0
    x=6

    final solutions to the equation:
    x=6;x=-7
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