If it's not what You are looking for type in the equation solver your own equation and let us solve it.
4x=1/3x+8
We move all terms to the left:
4x-(1/3x+8)=0
Domain of the equation: 3x+8)!=0We get rid of parentheses
x∈R
4x-1/3x-8=0
We multiply all the terms by the denominator
4x*3x-8*3x-1=0
Wy multiply elements
12x^2-24x-1=0
a = 12; b = -24; c = -1;
Δ = b2-4ac
Δ = -242-4·12·(-1)
Δ = 624
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{624}=\sqrt{16*39}=\sqrt{16}*\sqrt{39}=4\sqrt{39}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-24)-4\sqrt{39}}{2*12}=\frac{24-4\sqrt{39}}{24} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-24)+4\sqrt{39}}{2*12}=\frac{24+4\sqrt{39}}{24} $
| 6y=36+6 | | 1/22w=2 | | f(4)=8(4)-7 | | -4p+9p=-20+10 | | 3x-8/5=2x | | 1=5x=7+4 | | 10x+7+12x-9=180 | | k+16=36 | | 6+x/2=-7 | | x+2/6=1/3+x-8/4 | | 4(5x+3)=-(15-4x) | | -8.08+.832x=20 | | S=3/2n+13 | | 5x-24=2(x+3) | | -15x-12=18 | | 3×(x+7)=35+2x | | 9x-12=36+5x | | w-15=12 | | 4x/3=3x/2+1 | | -22=6x+20 | | 832=26c | | w2+11w+10=0 | | d2-2d=24 | | k2-17k+9=-63 | | p2-11p+28=0 | | 2+23=2v+3v | | g2-g+11=11 | | 2+6x=7+5 | | 5(x+3)-12=14+4 | | x/15=4+x/5 | | (2k-10)(k-5)=0 | | r+5=98 |