SOLUTION: Please help me solve this equation: {{{ (x^2-4x-8)(x^2-4x)=48 }}}

Question 909147: Please help me solve this equation:
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Hopefully, simplification will allow an equation in quadratic form.

Forget about quadratic form. Look for roots.
Check plus and minus of -1,2,4,6,8,24. (Rational Roots Theorem, synthetic division).

-2 is a root, giving coefficients 1,-10,28,-24.
2 is a root, giving coefficients 1,-8,12, which now represents a quadratic factor .

Now you can try to factorize for ;

Indicating the last two roots are 2 and 6.

The original equation is equivalent to

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The solution then is OR OR .
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The root, x=2 occurs twice, so this has a MULTIPLICITY OF 2.
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