3-7w-11=4/7w

Simple and best practice solution for 3-7w-11=4/7w 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 3-7w-11=4/7w equation:



3-7w-11=4/7w
We move all terms to the left:
3-7w-11-(4/7w)=0
Domain of the equation: 7w)!=0
w!=0/1
w!=0
w∈R
We add all the numbers together, and all the variables
-7w-(+4/7w)+3-11=0
We add all the numbers together, and all the variables
-7w-(+4/7w)-8=0
We get rid of parentheses
-7w-4/7w-8=0
We multiply all the terms by the denominator
-7w*7w-8*7w-4=0
Wy multiply elements
-49w^2-56w-4=0
a = -49; b = -56; c = -4;
Δ = b2-4ac
Δ = -562-4·(-49)·(-4)
Δ = 2352
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:
$\sqrt{\Delta}=\sqrt{2352}=\sqrt{784*3}=\sqrt{784}*\sqrt{3}=28\sqrt{3}$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-56)-28\sqrt{3}}{2*-49}=\frac{56-28\sqrt{3}}{-98} $
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-56)+28\sqrt{3}}{2*-49}=\frac{56+28\sqrt{3}}{-98} $

See similar equations:

| F(x)=5/3x-1 | | 16+18+x=180 | | 9338=58(l+52) | | (4x+108)+2x=180 | | 57+49+x=180 | | 48+38+x=180 | | 3a=2a+50 | | 9v=24 | | 48=1/2b8 | | 4x+27=3x-4 | | 2.2x3.7=8.14 | | x=300-0.4x | | 2.2x=3.7 | | (2x)(4x)=20 | | -7y+2y-3y=10-8 | | 729.8=35.6(l+6.4) | | 6-7n-8=-23 | | 6x+2-7x+4=45 | | -7+2y-3y=10-8 | | H=180-16t^2 | | -11/4=k/4 | | 8=10+x/9 | | 2x30=78 | | -5-7x=-110 | | 9(5a+-7)+-7a+9=9(5a+-7)+-7a+9 | | 17=b/2+9 | | -2=-4+x/6 | | -3+x/7=-1 | | -6n-5=-47 | | 3/2+5j=10.5 | | 11x-1+12x+12=24 | | 5/x+1=2.25 |

Equations solver categories