Question

Solve 9x^2 - 100 = 0
I have no idea how to solve this, and I would greatly appreciate if someone could show me in steps

Answer 1

First factor the left side using the difference of squares rule

9x^2 - 100 = 0

(3x)^2 - (10)^2 = 0

(3x-10)(3x+10) = 0

what's next?

Answer 2

find the gcf? I'm sorry I have no idea

Answer 3

the next step would be to use the zero product property

Answer 4

that's the idea that if

A*B = 0

then

A = 0 or B = 0

Answer 5

so if

(3x-10)(3x+10) = 0

then

3x-10 = 0 or 3x+10 = 0

Answer 6

now you would solve each individual equation for x

Answer 7

Ok

Answer 8

what do you get

Answer 9

Sorry, I'm still figuring it out

Answer 10

that's fine, take your time

Answer 11

I think I have the final answer would it be -10/3 and 10/3?

Answer 12

good

Answer 13

x = 10/3 or x = -10/3

Answer 14

Thank you, very much

Answer 15

Thank you for the medal too

Answer 16

you're welcome