4/5z+2=7/10z

Simple and best practice solution for 4/5z+2=7/10z 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 4/5z+2=7/10z equation:



4/5z+2=7/10z
We move all terms to the left:
4/5z+2-(7/10z)=0
Domain of the equation: 5z!=0
z!=0/5
z!=0
z∈R
Domain of the equation: 10z)!=0
z!=0/1
z!=0
z∈R
We add all the numbers together, and all the variables
4/5z-(+7/10z)+2=0
We get rid of parentheses
4/5z-7/10z+2=0
We calculate fractions
40z/50z^2+(-35z)/50z^2+2=0
We multiply all the terms by the denominator
40z+(-35z)+2*50z^2=0
Wy multiply elements
100z^2+40z+(-35z)=0
We get rid of parentheses
100z^2+40z-35z=0
We add all the numbers together, and all the variables
100z^2+5z=0
a = 100; b = 5; c = 0;
Δ = b2-4ac
Δ = 52-4·100·0
Δ = 25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$z_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$z_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{25}=5$
$z_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5)-5}{2*100}=\frac{-10}{200} =-1/20 $
$z_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+5}{2*100}=\frac{0}{200} =0 $

See similar equations:

| 25/9=w25/100 | | 5(y+4)=-50 | | 6x-89=15 | | 24/20=g/15G= | | 5x-7=3x+28 | | 9n^2+1=12n | | 2/3k-(k-1/2)=1/6(k-51 | | (7x-15)(5x+19)=0 | | 13-5x+3x-70=-23 | | 7(10-3n)=5(15-4n) | | 7.23.8=p/3-7.2 | | e3.8=-7.2 | | 1/3x+15=-8 | | x^2+8x-50=-2 | | 3.6(9.8r-67)=9.8 | | 4{2x-4}=24 | | 1/4(-32w-8)=-8w-2 | | 3(5k-4)=8k+2 | | .h/3=7 | | w/5-12=29 | | 29=x-(-19) | | 16=5x+2(-1x-4) | | a/3+23=36 | | 32=u/4+12 | | 3m+5m=30+3m+5 | | 3x+2(1.5)=5x-3 | | (3x-5)/2=(2x-6) | | (7x-15)(5x-19)=0 | | 2(4x+4)=12 | | m-16=-1 | | 2r+7=5+67 | | (2)/(3)x+(14)/(3)=-(1)/(2)x+(7)/(2) |

Equations solver categories