2/3w+8=-10-1/2w

Simple and best practice solution for 2/3w+8=-10-1/2w 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 2/3w+8=-10-1/2w equation:



2/3w+8=-10-1/2w
We move all terms to the left:
2/3w+8-(-10-1/2w)=0
Domain of the equation: 3w!=0
w!=0/3
w!=0
w∈R
Domain of the equation: 2w)!=0
w!=0/1
w!=0
w∈R
We add all the numbers together, and all the variables
2/3w-(-1/2w-10)+8=0
We get rid of parentheses
2/3w+1/2w+10+8=0
We calculate fractions
4w/6w^2+3w/6w^2+10+8=0
We add all the numbers together, and all the variables
4w/6w^2+3w/6w^2+18=0
We multiply all the terms by the denominator
4w+3w+18*6w^2=0
We add all the numbers together, and all the variables
7w+18*6w^2=0
Wy multiply elements
108w^2+7w=0
a = 108; b = 7; c = 0;
Δ = b2-4ac
Δ = 72-4·108·0
Δ = 49
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{49}=7$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(7)-7}{2*108}=\frac{-14}{216} =-7/108 $
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+7}{2*108}=\frac{0}{216} =0 $

See similar equations:

| H(x)=14-8x | | -3=-5/6f | | 12x+12=25 | | (x-10)/8=1.5 | | (4x-6)(4x+6)-270=0 | | -6r=13+2r-11 | | -16/9w=7 | | 16/9w=7 | | 2x^2+8x=8 | | -1.6=w-3.2 | | 3y-9=y-1 | | Y-1=17t | | -7(4+h)=3h | | 6-9x=6x-10x-16 | | -2|x-7|=14 | | Y-1=17x | | 1.25+x=-1.26 | | (x-5)(x+5)=20 | | -3/5=4/3y-1/2 | | -7x+6x=20x(^2) | | x+5×=90 | | 7z-46z=18 | | 74+90+106+8x+x=180 | | f(-2)=(-2)-3 | | 3n=n÷10 | | 4+5x+x=22 | | q+12-2q-22=0 | | 9-2/3y=y | | 2-7f=f-12 | | 112+9x=220 | | 12=4.5x | | 3/5=x/32 |

Equations solver categories