2/3x+5/6x=1

Simple and best practice solution for 2/3x+5/6x=1 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 2/3x+5/6x=1 equation:



2/3x+5/6x=1
We move all terms to the left:
2/3x+5/6x-(1)=0
Domain of the equation: 3x!=0
x!=0/3
x!=0
x∈R
Domain of the equation: 6x!=0
x!=0/6
x!=0
x∈R
We calculate fractions
12x/18x^2+15x/18x^2-1=0
We multiply all the terms by the denominator
12x+15x-1*18x^2=0
We add all the numbers together, and all the variables
27x-1*18x^2=0
Wy multiply elements
-18x^2+27x=0
a = -18; b = 27; c = 0;
Δ = b2-4ac
Δ = 272-4·(-18)·0
Δ = 729
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{729}=27$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(27)-27}{2*-18}=\frac{-54}{-36} =1+1/2 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(27)+27}{2*-18}=\frac{0}{-36} =0 $

See similar equations:

| 8÷x=-11x | | 24x+12=20-8x | | -2x+20=18 | | 7x/2(2x-2)=62 | | 12=a-4.5 | | (x-7)/8-9=-12 | | 3x=x²+4 | | -25+m=15 | | 3(x-6)=5(2x+2) | | w=0.0026(73)(1400)/3/4 | | 6x-2x-4=-48 | | 2x-19=3x+6 | | Z/7+y=7 | | 5/x-2=8/x+1 | | (5x-15)/2=x | | -8-2v=-7v-7v | | 2(3y+4)-2(2y-5)=2(4y+2)-2(y+1) | | 5x+50-2x=25 | | (x+1)/3=x-5 | | x+1/3=x-5 | | 5(2x-3)-4(4x-2)=71 | | 6c+7c=8 | | 8(2x-1)/5=3x | | z=(10^3/5)–12 | | 22+4=14x+28 | | 2=2u−2 | | 3(x4)=-3 | | P(x)=-2x^2-7x-3 | | z+(-14)=13 | | f−168=124 | | x-5x-19=9+2x-7 | | x+58+42=180 |

Equations solver categories