If it's not what You are looking for type in the equation solver your own equation and let us solve it.
1/2w+w=8-3/2w
We move all terms to the left:
1/2w+w-(8-3/2w)=0
Domain of the equation: 2w!=0
w!=0/2
w!=0
w∈R
Domain of the equation: 2w)!=0We add all the numbers together, and all the variables
w!=0/1
w!=0
w∈R
1/2w+w-(-3/2w+8)=0
We add all the numbers together, and all the variables
w+1/2w-(-3/2w+8)=0
We get rid of parentheses
w+1/2w+3/2w-8=0
We multiply all the terms by the denominator
w*2w-8*2w+1+3=0
We add all the numbers together, and all the variables
w*2w-8*2w+4=0
Wy multiply elements
2w^2-16w+4=0
a = 2; b = -16; c = +4;
Δ = b2-4ac
Δ = -162-4·2·4
Δ = 224
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}$$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{224}=\sqrt{16*14}=\sqrt{16}*\sqrt{14}=4\sqrt{14}$$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-16)-4\sqrt{14}}{2*2}=\frac{16-4\sqrt{14}}{4} $$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-16)+4\sqrt{14}}{2*2}=\frac{16+4\sqrt{14}}{4} $
| 9x-6=7+8 | | 11.1+u/7=-6.4 | | j/3− 2=2 | | -7u+26.8=4.4 | | 4^x+8=5^x+1 | | 6+y/4=-4.24 | | 5a+7=3a | | 3x+38=14x-17 | | 6+y/4=4.24 | | n-3/7=-4 | | -4.5=8.3+y/8 | | 2w-1.1=2.1 | | (x+2)^{2}=x^{2}+6 | | -2x=15+-9 | | 8+w/8.96=15 | | 4(x+6)^2=28 | | 7=4x+8 | | 6=9t | | 6x-4=4x+32 | | -13/6(-6/13x)=-13/6(-43.5) | | 25x^2=1=5 | | 53-y=168 | | x-9=18-2x | | 26=3v-10 | | 5a=18.1 | | -7x+4(x-5)=-23 | | 3x+200=x | | 2(2-4x)-3x=65 | | -6/13x=-43.5 | | 3v^2+17v+24=5 | | -18=6q | | -1/2(-2x-6)+4=-3x+1/4 |