10/x=5/2x+60

Simple and best practice solution for 10/x=5/2x+60 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 10/x=5/2x+60 equation:



10/x=5/2x+60
We move all terms to the left:
10/x-(5/2x+60)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: 2x+60)!=0
x∈R
We get rid of parentheses
10/x-5/2x-60=0
We calculate fractions
20x/2x^2+(-5x)/2x^2-60=0
We multiply all the terms by the denominator
20x+(-5x)-60*2x^2=0
Wy multiply elements
-120x^2+20x+(-5x)=0
We get rid of parentheses
-120x^2+20x-5x=0
We add all the numbers together, and all the variables
-120x^2+15x=0
a = -120; b = 15; c = 0;
Δ = b2-4ac
Δ = 152-4·(-120)·0
Δ = 225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{225}=15$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(15)-15}{2*-120}=\frac{-30}{-240} =1/8 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(15)+15}{2*-120}=\frac{0}{-240} =0 $

See similar equations:

| 2x+4x-4=4x | | 32=3(y+4)-7 | | -8+2/3x+4=2x-5-4 | | 2m+4-3m=8(-1) | | 36u=36u+36 | | 2x+2x-1=3x+4 | | )(3a-1)/8=(a+9)/4 | | 9-6(4u-10=u+15 | | 3(1-3x=2(-4x+7 | | x=1.05x-1.5 | | 4d-5-6d=21 | | (9x+3)•(7x+1)•=180 | | 92=46x | | -5(6f+6)=30 | | 1/3y-5/6y+6=7/18+1/6y | | 1/2x+3=12+3 | | (2x-3)+(3x-4)+(X+1)=x+x+x+x+8 | | 38+7k=5-8(k+4) | | -7w-12+3w=-32 | | 15y-12=1+15y | | 14x+5x=34-1 | | 5=6x=-19 | | 8x-5=13x+8 | | 21(1+3n)=12n | | -4(x-7)=3x+35 | | x/4=98 | | 9-3x=13x | | 4=5x-10+2x | | 2.9=3.9-0.2x | | p−83=129 | | -9=a/9 | | x^2+23x-8=0 |

Equations solver categories