[10.02] What are the solutions for x in the proportion 5 times x minus 6 all over x equals 2 times x all over 2.?

x = −12 and x = −8

x = 12 and x = 8

x = −2 and x = −3

x = 2 and x = 3

Question

[10.02] What are the solutions for x in the proportion 5 times x minus 6 all over x equals 2 times x all over 2.?

x = −12 and x = −8

x = 12 and x = 8

x = −2 and x = −3

x = 2 and x = 3

anonymous · Answer

$$\frac{ 5x-6 }{ x }=\frac{ 2x }{ 2 }$$

anonymous · Answer

Yeah

anonymous · Answer

Know how to solve it??

anonymous · Answer

Not really I mean I know that you have to substitute the x values for each of them but when I did it none of them worked

anonymous · Answer

cross multiply it.

anonymous · Answer

leads to $$10x^2-12=2x^2$$
understnad how I got that?

anonymous · Answer

i mean 10x

anonymous · Answer

Not really

anonymous · Answer

$$10x-12=2x^2$$
becomes
$$2x^2-10x-12=0$$

anonymous · Answer

Understand?

anonymous · Answer

Yes

anonymous · Answer

$$2x^2-10x+12=0$$
I mean. Someone is distracting me in real life. Sorry

anonymous · Answer

$$2(x^2-5x+6)=2(x-3)(x-2)=0$$
Know how to solve for x?

anonymous · Answer

I dont understand which one it would be XD Im sorry i'm just really bad at math

anonymous · Answer

@Shalante

anonymous · Answer

anything multiplied by a zero equals zero.
so set anything equal to zero.

anonymous · Answer

Wouldnt the answer be x = 2 and x = 3 ?

anonymous · Answer

Yes, it would. You are right.