If it's not what You are looking for type in the equation solver your own equation and let us solve it.
42-x=4/3x
We move all terms to the left:
42-x-(4/3x)=0
Domain of the equation: 3x)!=0We add all the numbers together, and all the variables
x!=0/1
x!=0
x∈R
-x-(+4/3x)+42=0
We add all the numbers together, and all the variables
-1x-(+4/3x)+42=0
We get rid of parentheses
-1x-4/3x+42=0
We multiply all the terms by the denominator
-1x*3x+42*3x-4=0
Wy multiply elements
-3x^2+126x-4=0
a = -3; b = 126; c = -4;
Δ = b2-4ac
Δ = 1262-4·(-3)·(-4)
Δ = 15828
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{15828}=\sqrt{4*3957}=\sqrt{4}*\sqrt{3957}=2\sqrt{3957}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(126)-2\sqrt{3957}}{2*-3}=\frac{-126-2\sqrt{3957}}{-6} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(126)+2\sqrt{3957}}{2*-3}=\frac{-126+2\sqrt{3957}}{-6} $
| (x+-6)(5x+4)=0 | | 3(y+2)+2+(y-3)=15 | | 10x-6x=-3x+2x-25 | | 100-b2=80 | | 20+7=5x+3x+9 | | 5(2y-2+4=4 | | 4.3x+3x+2=13 | | 3+17=6y-4+2y | | -x^2+0,4x-0,02=0 | | 5x+7/4=13 | | 2(4t-6)=17t+7 | | 9(v+2)=18 | | (m-1)(m^2+m+1)=0 | | (m2+16)=0 | | 90+2n=180 | | 6-3+4x+1=3+4x | | 25x-6.5x+2=-3 | | 5.86=0.5(0.7x−0.9)−0.695.86=0.5(0.7x-0.9)-0.69 | | 6-3+4x+1=6x+8 | | 6-3+4x+1=5x+1 | | (m^2-4m-5)=0 | | 6-3+4x+1=5x+0 | | 3x+6=5x-25 | | 64-5u=3u | | 11x-(3x-7)=47 | | 6x6-6=0 | | 33+4y=27+2y | | 4/3+2/3x=31/12+7/4x+3/4 | | (1+-2x+x2)=0 | | x2(1+-2x+x2)=0 | | 13m=42 | | 4x-7-3=0 |