Question

Solve for x: 4 over 5 x + 4 over 3 = 2x

Answer 1

\[\frac{ 4 }{ 5x } + \frac{ 4 }{ 3 } = 2x\]
is that the equation?

Answer 2

yes!

Answer 3

@shinalcantara

Answer 4

so finding the LCD of 5x and 3, you'll have
\[\frac{ 3(4) +4(5x) }{ 15x } = 2x\]
now you cross multiply

Answer 5

and how do i do that??

Answer 6

@shin

Answer 7

@shinalcantara

Answer 8

you multiply 15x to the right leaving you with 3(4) + 4(5x) at the left

Answer 9

\[3(4) + 4(5x) = 15x(2x)\]

Answer 10

you simplify and transpose everything to the right so that \[x^{2}\] will have a positive coefficient.. if you remember quadratic equation, you proceed with that

Answer 11

*quadratic equation formula

Answer 12

???????????????????

Answer 13

@shinalcantara

Answer 14

\[12x +20x = 30x ^{2}\]
rearranging it you'll have:
\[30x ^{2} - 20x -12 =0\]

using quadratic formula:
\[x = \frac{ -b \pm \sqrt{b^{2}-4ac} }{ 2a }\]

Answer 15

a=30, b=-20, c=-12
now you substitute

Answer 16

so is -b = 20? @shinalcantara

Answer 17

yep