SOLUTION: It is telling me to solve equations by factoring. for example: 24xcubed=10xsq+6x for x

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Question 119812: It is telling me to solve equations by factoring. for example: 24xcubed=10xsq+6x for x
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
24x%5E3=10x%5E2%2B6x Start with the given equation


0=10x%5E2%2B6x-24x%5E3 Subtract 24x^3 from both sides.



0=-24x%5E3%2B10x%5E2%2B6x Sort the terms


0=2x%28-12x%5E2%2B5x%2B3%29 Factor out the GCF 2x



0=-2x%284x-3%29%283x%2B1%29 Factor the inner expression




Now set each factor equal to zero:

-2x=0, 4x-3=0 or 3x%2B1=0

Now solve for x for each factor:

x=0, x=3%2F4 or x=-1%2F3

So the solutions are:

x=0, x=3%2F4 or x=-1%2F3