If it's not what You are looking for type in the equation solver your own equation and let us solve it.
-3(8-y)=61/2y-4
We move all terms to the left:
-3(8-y)-(61/2y-4)=0
Domain of the equation: 2y-4)!=0We add all the numbers together, and all the variables
y∈R
-3(-1y+8)-(61/2y-4)=0
We multiply parentheses
3y-(61/2y-4)-24=0
We get rid of parentheses
3y-61/2y+4-24=0
We multiply all the terms by the denominator
3y*2y+4*2y-24*2y-61=0
Wy multiply elements
6y^2+8y-48y-61=0
We add all the numbers together, and all the variables
6y^2-40y-61=0
a = 6; b = -40; c = -61;
Δ = b2-4ac
Δ = -402-4·6·(-61)
Δ = 3064
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{3064}=\sqrt{4*766}=\sqrt{4}*\sqrt{766}=2\sqrt{766}$$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-40)-2\sqrt{766}}{2*6}=\frac{40-2\sqrt{766}}{12} $$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-40)+2\sqrt{766}}{2*6}=\frac{40+2\sqrt{766}}{12} $
| 9(1+d)=90 | | 23=-4e+2+e | | 2=x-5/7x | | 11/3=x/30 | | 15x-13=9x+11 | | 8.95+1.50x=29.95 | | a/12+24=27 | | 7(x+3)=2+1 | | 6x/11=3x-4 | | 5∣2x+10∣+10=60 | | 5h–6=8+7h | | 14-33x=12;x= | | -5.1=-0.6a+1.5 | | -7(-2n-3)=-11+6n | | y/8+52=58 | | -3/5=v/0.2 | | x=5/2*(3-Y) | | u=9-6 | | 9=2a-7 | | P=64;p=16;p=96 | | w/8+70=79 | | 9=2a-710 | | v=4-1 | | 2x+5+3x+6=33 | | 4.6+10m=8.87 | | s=1.5 | | 16+2g=48 | | 4(-2)=4x+10 | | 2x+5=14+7/3 | | (4y/11/2)=6 | | F(m)=0.12+75 | | -7x+4-2x=-10-7x |