3.4w-11=-4/7w

Simple and best practice solution for 3.4w-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 3.4w-11=-4/7w equation:



3.4w-11=-4/7w
We move all terms to the left:
3.4w-11-(-4/7w)=0
Domain of the equation: 7w)!=0
w!=0/1
w!=0
w∈R
We get rid of parentheses
3.4w+4/7w-11=0
We multiply all the terms by the denominator
(3.4w)*7w-11*7w+4=0
We add all the numbers together, and all the variables
(+3.4w)*7w-11*7w+4=0
We multiply parentheses
21w^2-11*7w+4=0
Wy multiply elements
21w^2-77w+4=0
a = 21; b = -77; c = +4;
Δ = b2-4ac
Δ = -772-4·21·4
Δ = 5593
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-77)-\sqrt{5593}}{2*21}=\frac{77-\sqrt{5593}}{42} $
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-77)+\sqrt{5593}}{2*21}=\frac{77+\sqrt{5593}}{42} $

See similar equations:

| 3k-4(k-6)-3k=-18k | | 9x+75+3x+2=180 | | 5(a-1=45 | | 12x=280 | | 4(5x-9)=15(x-1)-1 | | x/9=7/13 | | 4.5=0.4n | | 3(x-9)+12=30 | | -2(3x+4)=10-15x | | x+(4-7x)=7-(-13+2x) | | 5=0.8x+0.8x^2 | | (Y+4)=3(2y-7) | | 6.5(8x+5)=-19.5 | | 3-12+9y=18 | | (2x+5)=3(3x-10) | | -2(3x+4)=7-(-13+2x) | | -24=-4n | | 11+12x=131 | | 4-5x=1=6x | | (x*10)-24=x^2 | | -24n=-4n | | 3/10=t/50 | | 12(b+2)=6(b+5) | | 14x-5=7+12 | | -4n=30 | | 12x-(4x-6)=82 | | 3x-14-6x=-8+x-3x | | 22=-3b-8b | | x*10-24=x^2 | | 1x×3x=0 | | 0=p-8p | | -5a-8(-1+a)=112 |

Equations solver categories