Question

solve by factoring: x^2=14x-33

Answer 1

move everything to one side first

Answer 2

14x-33-x^2?

Answer 3

is equal to 0
so 14x-33-x^2=0

preferably we want x^2 to be positive, so multiply by -1 or move everythign to the otherside will give x^2-14x+33=0

Answer 4

now, solving by factoring,

list all the factor couples of 33

Answer 5

11

Answer 6

11x3

Answer 7

factor pairs, multiple pairs, same thing

ex. [1,33], [3,11], etc

Answer 8

there should be two more left, list them

Answer 9

1x33

Answer 10

i already listed that one,

Answer 11

thats it. 11x3 and 1x33

Answer 12

nope
-1 *-33 =?

Answer 13

oh ok

Answer 14

(x-11) (x-3)?

Answer 15

yes

Answer 16

well, almost, you forgot =0

Answer 17

(x-11) (x-3)=0. thanks so much!

Answer 18

not done yet

Answer 19

oh?

Answer 20

zero property of multiplication means that either (x-11) =0
or (x-3)=0

so basically just solve for x

Answer 21

so x will have 2 answers

Answer 22

11, 3?

Answer 23

x= 11, x =3

its an equation, thus the answer would be an equation

Answer 24

but yes x is equal to 11 and 3

Answer 25

ok. i dont have to put it in an equation. i just had to put the two x values. so thanks for helping :)

Answer 26

computer assignment?

Answer 27

some teachers will be picky about how the answer is written

Answer 28

yeah. and i know. i hate it but you helped a lot.

Answer 29

no prob