Algebra

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Algebra

Solve: -48x = -2x^2 - x^3
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Re: Algebra

-48x = -2x² - x³
x³ + 2x² - 48x = 0   {added x³ and 2x² to each side}
x(x² + 2x - 48) = 0   {factored x out of left side}
x(x + 8)(x - 6) = 0   {factored the trinomial into two binomials}
x = 0   or   x + 8 = 0   or   x - 6 = 0   {set each factor equal to zero}
x = 0   or   x = -8   or   x = 6   {solved each equation for x}

- Algebra House