Question

what do i do to get x = 0 or x = 9 from here x2 + 9x = 0

Answer 1

Factor out a common term.

Answer 2

question

Answer 3

?

Answer 4

is it (x - 9)(x + 9)

Answer 5

No, if you FOIL those terms you will get \(x^2-81\).
There is a single factor that is common to both terms. \(x^2+9x\)

Answer 6

i'm confused

Answer 7

What is \(x \times x\)?

Answer 8

x^2

Answer 9

What is \(9 \times x\)?

Answer 10

so is it (x + 3)(x - 3)

Answer 11

Nope. If you FOIL those factors you will get \(x^2-9\). Not quite what you are looking for. You may be over thinking it.
What is \(9\times x\)?

Answer 12

(x + 3)^2

Answer 13

You are jumping ahead. Answer my questions and you will see a pattern....
\(x\times x=x^2\)
What is \(9 \times x\)?

Answer 14

9x

Answer 15

Great! So...
\(x\times x = x^2\)
\(9 \times x = 9x\)
The factors are on the left and the product is on the right.
What factor does each term have?

Answer 16

factor \(\times \) factor = product

Answer 17

thx

Answer 18

You're welcome.