Question

solve the following quadratic equations by factoring. set equations to "0" first tho. show work please
x^3-24x=5x^2

Answer 1

x^3- 5x^2 - 24x = 0
x (x^2 - 5x - 24) = 0
One solution is x = 0. The other solution can be found using the quadratic formula or by factoring further. The question we must ask ourselves is can I multiply terms and get this equation of x^2 - 5x - 24?

The answer is yes, and the factored form is: (x+3)(x-8) as if you work this out, you get:
x^2 + 3x - 8x - 24 which becomes x^2 + 3x - 24.

So you have x(x+3)(x-8)=0
So your solutions are as follows:
x = 0, x = -3, x = 8.


Hope this helps. If it does, please choose good answer.
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Answer 2

x(x2-5x-24)= x=-3,x=8, x=0