Question

8x/5x+3=10x-2/7x
find x

Answer 1

@SolomonZelman

Answer 2

@dtan5457 @campbell_st @confluxepic @sleepyjess

Answer 3

\[\frac{ 8x }{ 5x+3 }=\frac{ 10x-2 }{ 7x }\]

Answer 4

like this?

Answer 5

Yes

Answer 6

@dtan5457

Answer 7

Cross multiply

Answer 8

Equate them together and form a quadratic, then solve using quadratic formula

Answer 9

does x=1/6 @dtan5457

Answer 10

No. It's gonna be in the form of the quadratic formula.

Answer 11

When you cross multiply, what do you get?

Answer 12

(10x-2)(5x+3)=56x

Answer 13

@dtan5457

Answer 14

8x times 7x=56x^2

Answer 15

Solve for x using the quadratic formula

56x^2=50x^2+20x-6

isolate

6x^2-20x+6

factor x and solve..

Answer 16

is that a minus sign or is it suppose to be an equal sign? @dtan5457

Answer 17

Minus, I moved all terms to one side, it should technically be

6x^2-20x+6=0

Answer 18

@dtan5457 i cant figure out what x is

Answer 19

Not sure how to factor it? You can try using the quadratic formula, if you want.

Answer 20

Or do you want to learn how to factor?

Answer 21

whats the quadratic factor

Answer 22

Quadratic formula is \[\frac{ -b \pm \sqrt{b^2-4ac} }{ 2a }\]
You can try this once, but if it fails, I'll show you my method.