5/6x+12=1/4x-2

Simple and best practice solution for 5/6x+12=1/4x-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 5/6x+12=1/4x-2 equation:



5/6x+12=1/4x-2
We move all terms to the left:
5/6x+12-(1/4x-2)=0
Domain of the equation: 6x!=0
x!=0/6
x!=0
x∈R
Domain of the equation: 4x-2)!=0
x∈R
We get rid of parentheses
5/6x-1/4x+2+12=0
We calculate fractions
20x/24x^2+(-6x)/24x^2+2+12=0
We add all the numbers together, and all the variables
20x/24x^2+(-6x)/24x^2+14=0
We multiply all the terms by the denominator
20x+(-6x)+14*24x^2=0
Wy multiply elements
336x^2+20x+(-6x)=0
We get rid of parentheses
336x^2+20x-6x=0
We add all the numbers together, and all the variables
336x^2+14x=0
a = 336; b = 14; c = 0;
Δ = b2-4ac
Δ = 142-4·336·0
Δ = 196
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{196}=14$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(14)-14}{2*336}=\frac{-28}{672} =-1/24 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(14)+14}{2*336}=\frac{0}{672} =0 $

See similar equations:

| 6x-3.5=x+3.5+x | | (7x+9)X4=(5x+2)X3 | | C=30+0.10s≤200 | | 0.2x+3.4=0.6x-26 | | C=30+0.10s | | 3(7x+9)=4(5x+2) | | -2(8-3y)-9y=-25 | | Y=2(4x+5)=1 | | Y+3/4=x=1 | | -13=n-10 | | N+(2+n)=106 | | N+2n=106 | | 2(n+15)+2n=150 | | Y=2(4x+5) | | 1/3-2×0=y | | 1/3-0=y | | |-3h–6|=3 | | 5/(2/3)=a | | -2(8+18y)-9y=-25 | | -8x+3-5x+4=-27 | | n-7=7*6 | | -x-0=2 | | Y+3/4=x | | 6=x=5+2x | | -5×0-5y=10 | | X=110(8x+30) | | Y+3/4=x=9/4 | | Y=0.496x-973.8 | | X=2(x+10) | | 18+4x=-12-11x | | 8(4-x=7x+2) | | 6(x-)=72 |

Equations solver categories