1. ## Need help factoring, please.

Hey, could anyone please offer some insight and solve: 30x+4x^2-16x^3 I'm sure once I see it I can keep doing it without assistance. Thank You!

2. Originally Posted by FactoringAnguish
Hey, could anyone please offer some insight and solve: 30x+4x^2-16x^3 I'm sure once I see it I can keep doing it without assistance. Thank You!
Re-arrange:

$\displaystyle -16x^3 + 4x^2 + 30x$

When you say SOLVE, I assume it's equal to 0

So:

$\displaystyle -16x^3 + 4x^2 + 30x = 0$

$\displaystyle 16x^3 - 4x^2 - 30x = 0$

$\displaystyle 2x(8x^2 - 2x - 15) = 0$

$\displaystyle 2x(4x + 5)(2x - 3) = 0$

So $\displaystyle x = 0$ or $\displaystyle x = - \frac{5}{4}$ or $\displaystyle x = \frac{3}{2}$

3. 30x+4x^2-16x^3

= 30x +4x^2 -16x^3
Factor out the common 2x,
= (2x)(15 +2x -8x^2)
Then factor the 15 +2x -8x^2,
= (2x)(5 +4x)(3 -2x)

So,
x = 0, or, x = -5/4, or, x = 3/2 --------------answer.

4. Thanks guys, very quick response! I now know the proper way to re-order it to make it something I'm used to seeing.

5. Originally Posted by FactoringAnguish
Thanks guys, very quick response! I now know the proper way to re-order it to make it something I'm used to seeing.
You're welcome and we look forward to helping you again