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Algebra 2

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How would you solve the following I'm stumped..
1. 2x^2(squared)=30-4x
2. X^3(cubed)+8x=-6x^2(squared)

Thanks!

  • Algebra 2 -

    First, set each equation equal to 0:

    1. 2x^2 + 4x - 30 = 0

    2. x^3 + 6x^2 + 8x = 0

    Try to factor when possible:

    1. (2x - 6)(x + 5) = 0

    2. x(x^2 + 6x + 8) = 0
    x(x + 2)(x + 4) = 0

    Set each factor equal to 0:

    1. 2x - 6 = 0
    x + 5 = 0

    2. x = 0
    x + 2 = 0
    x + 4 = 0

    Can you take it from here to find the solutions for x in both problems?

    I hope this explanation helps.

  • Algebra 2 -

    Yes thank you!

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