If it's not what You are looking for type in the equation solver your own equation and let us solve it.
6z(4-z)=2z
We move all terms to the left:
6z(4-z)-(2z)=0
We add all the numbers together, and all the variables
6z(-1z+4)-2z=0
We add all the numbers together, and all the variables
-2z+6z(-1z+4)=0
We multiply parentheses
-6z^2-2z+24z=0
We add all the numbers together, and all the variables
-6z^2+22z=0
a = -6; b = 22; c = 0;
Δ = b2-4ac
Δ = 222-4·(-6)·0
Δ = 484
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$z_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$z_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{484}=22$$z_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(22)-22}{2*-6}=\frac{-44}{-12} =3+2/3 $$z_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(22)+22}{2*-6}=\frac{0}{-12} =0 $
| 6t^2-25t+26=0 | | -44-(-6)=x/12 | | -4(t^2+2)(t^2-6)=0 | | -9w-46=27 | | 125x-100x+38,000=41,000-175x | | X(x300-400000)=0 | | r5=2 | | .5x+3+125=180 | | 15+(s)+2-15(s)=0 | | 8y+30=2(y-3) | | -8(t+8)=8 | | 12(2w−3)=6ww= | | 7t^2-43t+66=0 | | x(6)(8)=208 | | C-3+4t=3(3T-9) | | 6k+(3*10-8)=(2*3)k+(3*3) | | (10-7)*x=21 | | 20n=7n | | 3x=49-6x | | 55-11r=33 | | 43+4y-15=15y-14-5y | | (10-7*x=21 | | 7g+14-59=-18 | | -5=m/6 | | -8(x-3)=3x+2 | | 9=x/12+5 | | 4/6x=-30 | | -6+6y=-3 | | 1/(7x)=1 | | X(x(+300)=400000 | | 4-2(1-7m)=-82 | | 43+4y-13=13y-12-2y |