I am having a lot of trouble factoring decimals, and this one is specifically is stumping me.
The equation is w^2+.14w-.048
I tried to figure it out with the numbers 140 and -48. But I'm just not getting it.
Unfortunately, since you haven't shown your work, we can't know what
this means, nor where
it led. So we'll have to start over.
To clear the decimals, one would need to multiply through by 1000. Of course, this isn't an equation, so there is no "equals" that we can multiply "through". Instead, we'll need to multiply
and divide by 1,000, so we're multiplying by 1. But it's a useful form of 1.
. . . . .\(\displaystyle w^2\, +\, 0.14w\, -\, 0.048\, =\, \dfrac{1000}{1000}\, (w^2\, +\, 0.14w\, -\, 0.048)\, =\, \dfrac{1}{1000}\, (1000w^2\, +\, 140w\, -\, 48)\)
Then divide out a 4 to get:
. . . . .\(\displaystyle \dfrac{1}{250}\, (250x^2\, +\, 35w\, -\, 12)\)
Then factor in the usual way. (
here) You'll need factors of -3000 which are 35 units apart.