5/6w+21=-2w+9/3

Simple and best practice solution for 5/6w+21=-2w+9/3 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 5/6w+21=-2w+9/3 equation:



5/6w+21=-2w+9/3
We move all terms to the left:
5/6w+21-(-2w+9/3)=0
Domain of the equation: 6w!=0
w!=0/6
w!=0
w∈R
We add all the numbers together, and all the variables
5/6w-(-2w+3)+21=0
We get rid of parentheses
5/6w+2w-3+21=0
We multiply all the terms by the denominator
2w*6w-3*6w+21*6w+5=0
Wy multiply elements
12w^2-18w+126w+5=0
We add all the numbers together, and all the variables
12w^2+108w+5=0
a = 12; b = 108; c = +5;
Δ = b2-4ac
Δ = 1082-4·12·5
Δ = 11424
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:
$\sqrt{\Delta}=\sqrt{11424}=\sqrt{16*714}=\sqrt{16}*\sqrt{714}=4\sqrt{714}$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(108)-4\sqrt{714}}{2*12}=\frac{-108-4\sqrt{714}}{24} $
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(108)+4\sqrt{714}}{2*12}=\frac{-108+4\sqrt{714}}{24} $

See similar equations:

| 10x-35=37 | | 2.9=x3/2 | | œ=6x7 | | X/3+17x/2=0 | | 11x+56=180 | | y+0.4=2* | | u–6–9=8 | | 123.45-115.6=n | | –2x+5=17 | | x²=36/49 | | 2(3g+2)=10 | | 32n=33554.432 | | 12=y/2-8 | | 4x+18-2x=-8 | | -6x+3=-3x-3 | | E=5x0.15x10 | | 1+3=k | | 19-8x=x=-17 | | 50x+5x-9=20 | | 14+81=n | | y=200,000(1.08)9 | | y=60-12y | | (-4/5)x=28 | | 700-371=x | | 88=4x+4 | | -8k-32=8(-7k-4)-5k | | -10x+10=-3x-4 | | 150+16x=310+12x | | x-12=≤30 | | 5y+23=180 | | x+10(-0.5-2)=20 | | 2x+5(3x+15)=-27 |

Equations solver categories