20(5z)-(1/2)z=234

Simple and best practice solution for 20(5z)-(1/2)z=234 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 20(5z)-(1/2)z=234 equation:



20(5z)-(1/2)z=234
We move all terms to the left:
20(5z)-(1/2)z-(234)=0
Domain of the equation: 2)z!=0
z!=0/1
z!=0
z∈R
We add all the numbers together, and all the variables
205z-(+1/2)z-234=0
We multiply parentheses
-z^2+205z-234=0
We add all the numbers together, and all the variables
-1z^2+205z-234=0
a = -1; b = 205; c = -234;
Δ = b2-4ac
Δ = 2052-4·(-1)·(-234)
Δ = 41089
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$z_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$z_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$z_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(205)-\sqrt{41089}}{2*-1}=\frac{-205-\sqrt{41089}}{-2} $
$z_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(205)+\sqrt{41089}}{2*-1}=\frac{-205+\sqrt{41089}}{-2} $

See similar equations:

| 1+7p+2p+4=p+7p | | -3.2=2.3-0.5x | | 16-2t=t+9+4t16−2tt+9+4t | | 54=(8*X)+(6*y) | | -7w/5=35 | | 0.5z=9.14 | | 4x-9=3(x-4) | | 2x-3+12+2x+x^2+2x-3=78 | | 14x+8=92 | | Y=-2x+0.24 | | 50.5=15n-32 | | (7+x)5=(3x+1)3 | | –x+10=2x+4 | | 6(y+2)-(y-5)4=(2y-5)3 | | 7+8x=13–3x | | 7+2n=7-6n | | -1x-21=-13 | | 6x-3=x^2+4x-2 | | 7+8x=13x | | 8=–x+10 | | 14x+8=88 | | x/6(-4)=-5 | | x/7=9.5 | | y+3y-y=35 | | Y=-2x+17Y=x-7 | | 5b+14=4+7b | | 123y+2=-4+3y | | -4r=-28= | | 4p+2=2+7p | | -7n+12=96 | | -v+7v=5v+3-7-4 | | 14x+56=84 |

Equations solver categories