5X+1/7x=15

Simple and best practice solution for 5X+1/7x=15 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 5X+1/7x=15 equation: 



5X+1/7X=15

We move all terms to the left:

5X+1/7X-(15)=0



Domain of the equation: 7X!=0

X!=0/7

X!=0

X∈R



We multiply all the terms by the denominator


5X*7X-15*7X+1=0

Wy multiply elements

35X^2-105X+1=0

a = 35; b = -105; c = +1;
Δ = b2-4ac
Δ = -1052-4·35·1
Δ = 10885
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-105)-\sqrt{10885}}{2*35}=\frac{105-\sqrt{10885}}{70}
$


$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-105)+\sqrt{10885}}{2*35}=\frac{105+\sqrt{10885}}{70}
$

See similar equations:

| 171=w+227 | | 7(y-9)=-14 | | 9x+2=-4x-10 | | 8n=-2n | | -21=21-b | | 45=9x/11 | | 2x-6+4+18=180 | | -4(7k+6)+4k=-8(4k-7) | | 4(2r-1)=-3(3r+16) | | -3+a/10=-4 | | -18a-5=391 | | -1a-5=391 | | x/35-2=-3 | | 2x-1/2=14/5+x | | 2x+x=14/5+1/2 | | -2x+180=30 | | 2(-5+x)=38 | | 4(-2x+9)=-37+25 | | 20/12=n/5 | | 2/4=4x | | 5x^2+3x+20=400 | | -(x+3)-5x=0 | | 2e+1=-19 | | -11=h-5 | | -6c=858 | | 11-(15g-13=-6 | | -v-287=282 | | d+-48=-24 | | 1.000+1.200m=1.500+1.175m | | 3x-11=109 | | q+97=17 | | 31=h-27 |

Equations solver categories