-4/5x+2/3=13/4x+2

Simple and best practice solution for -4/5x+2/3=13/4x+2 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 -4/5x+2/3=13/4x+2 equation:



-4/5x+2/3=13/4x+2
We move all terms to the left:
-4/5x+2/3-(13/4x+2)=0
Domain of the equation: 5x!=0
x!=0/5
x!=0
x∈R
Domain of the equation: 4x+2)!=0
x∈R
We get rid of parentheses
-4/5x-13/4x-2+2/3=0
We calculate fractions
160x^2/180x^2+(-144x)/180x^2+(-585x)/180x^2-2=0
We multiply all the terms by the denominator
160x^2+(-144x)+(-585x)-2*180x^2=0
Wy multiply elements
160x^2-360x^2+(-144x)+(-585x)=0
We get rid of parentheses
160x^2-360x^2-144x-585x=0
We add all the numbers together, and all the variables
-200x^2-729x=0
a = -200; b = -729; c = 0;
Δ = b2-4ac
Δ = -7292-4·(-200)·0
Δ = 531441
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{531441}=729$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-729)-729}{2*-200}=\frac{0}{-400} =0 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-729)+729}{2*-200}=\frac{1458}{-400} =-3+129/200 $

See similar equations:

| 11-x=-12 | | -27+x=5x+9 | | 4x^=100 | | 1+v/9=4 | | 20-7v=-9v-10 | | -17=1-5r+2r | | -16r-12=-17r | | 3t-2(2t-7)=2(3+t)-4 | | 4-9x=29 | | 13s-20=7s+18-13s | | 1/2(-8w-6)=17 | | 5x-11=-66 | | -2-23=3x+47 | | 9x-7=4x+2 | | x^2-(4+2x)=0 | | -16.05+2.1v=6v+3.84 | | 6/8d=3/4 | | 2h-1+9h=10h-10 | | -5r6=-5(r+2) | | (6a-4)/7=4/3 | | 6/5(y)=6y+28 | | 8-20g=-3g-15g-20 | | J+20=-j-20 | | 3/8x=3/6 | | -8-3x=-2-6 | | -6+r=2 | | 26=1/2h(13) | | -1/8x+6=9/4 | | k^2-2k-19=5 | | -4=(6y-12)-2y | | 5e=27 | | 2a+8=4a-20 |

Equations solver categories