SOLUTION: Help me find the real solutions of the equation by factoring: x to the 3rd power + 2x(square) - 16x

SOLUTION: Help me find the real solutions of the equation by factoring: x to the 3rd power + 2x(square) - 16x - 32 = 0

Question 470600: Help me find the real solutions of the equation by factoring:
x to the 3rd power + 2x(square) - 16x - 32 = 0
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
First, we must factor.

Start with the given expression

Group like terms

Factor out the GCF out of the first group. Factor out the GCF out of the second group

Since we have the common term , we can combine like terms

Now factor to get (this a difference of squares)

So factors to

In other words,

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So this essentially means that becomes

Now we move onto solving

Start with the given equation.

or , or Use the zero product property

or , or Solve for 'x' in each equation.

So the three solutions are or , or

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