10x+15/4x=20

Simple and best practice solution for 10x+15/4x=20 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 10x+15/4x=20 equation:



10x+15/4x=20
We move all terms to the left:
10x+15/4x-(20)=0
Domain of the equation: 4x!=0
x!=0/4
x!=0
x∈R
We multiply all the terms by the denominator
10x*4x-20*4x+15=0
Wy multiply elements
40x^2-80x+15=0
a = 40; b = -80; c = +15;
Δ = b2-4ac
Δ = -802-4·40·15
Δ = 4000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:
$\sqrt{\Delta}=\sqrt{4000}=\sqrt{400*10}=\sqrt{400}*\sqrt{10}=20\sqrt{10}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-80)-20\sqrt{10}}{2*40}=\frac{80-20\sqrt{10}}{80} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-80)+20\sqrt{10}}{2*40}=\frac{80+20\sqrt{10}}{80} $

See similar equations:

| 75=3+(-6n-5) | | x=4(3.14)(256) | | 2+0.1(57-x)=1.4x-(0.3x-2.9) | | 6/y=3/2 | | X+(x+1)+(x+2)=264 | | 7.5x^2+10x=20 | | 8x=16x-4 | | ((0.6-0.3x)/18)=(1/1.2) | | 3(6n+3)=81 | | 148+7d=200 | | -8x^2-8=-32 | | 4(1–4n)=22-7n | | ∑71​ (5n+6)n=5 | | x=4(3.14)(121) | | -30=5(i+1)i= | | 8-2.8x=4 | | 8-2.8=4x | | 4(12.50+2x)=190 | | x/6-6/5=5x+36/6 | | 3(x-2)^2-7=68 | | 5y-24+y=180 | | 81+51+x=180 | | 403+28c=1000 | | 2x-3=9x+5+x | | −2.5 | | −2.5 | | −2.5 | | x=4(3.14)(81) | | 15=4^x-1 | | x=4(3.14)(36) | | -3v-10=-2v | | 2y-5y+20=0 |

Equations solver categories