Question

Solve by method of GCF: 2x+5x^2=0

Answer 1

gcf is greatest common factor of the 2 terms 2x and 5x^2
can you find this?

Answer 2

2 and 5 have no common factor
but is there a gcf for x and x^2?

Answer 3

x?

Answer 4

But I don't know what to do with the x

Answer 5

right
so x goes outside of brackets and equation becomes

x(2 + 5x) = 0

see how i got that?

Answer 6

yeah that makes sense so far

Answer 7

if you expand the brackets you get back to original equation

Answer 8

when 2 functions when multiplied together = 0
then one or the other must be 0

Answer 9

so either x = 0
or
2 + 5x = 0

can u finish this off?

Answer 10

so x=-2/5 or x=0?

Answer 11

yea

Answer 12

ohmygod. Thank you so much

Answer 13

yw