1/2g-4=2g-1/2g=4

Simple and best practice solution for 1/2g-4=2g-1/2g=4 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 1/2g-4=2g-1/2g=4 equation:



1/2g-4=2g-1/2g=4
We move all terms to the left:
1/2g-4-(2g-1/2g)=0
Domain of the equation: 2g!=0
g!=0/2
g!=0
g∈R
Domain of the equation: 2g)!=0
g!=0/1
g!=0
g∈R
We add all the numbers together, and all the variables
1/2g-(+2g-1/2g)-4=0
We get rid of parentheses
1/2g-2g+1/2g-4=0
We multiply all the terms by the denominator
-2g*2g-4*2g+1+1=0
We add all the numbers together, and all the variables
-2g*2g-4*2g+2=0
Wy multiply elements
-4g^2-8g+2=0
a = -4; b = -8; c = +2;
Δ = b2-4ac
Δ = -82-4·(-4)·2
Δ = 96
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$g_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$g_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:
$\sqrt{\Delta}=\sqrt{96}=\sqrt{16*6}=\sqrt{16}*\sqrt{6}=4\sqrt{6}$
$g_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-8)-4\sqrt{6}}{2*-4}=\frac{8-4\sqrt{6}}{-8} $
$g_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-8)+4\sqrt{6}}{2*-4}=\frac{8+4\sqrt{6}}{-8} $

See similar equations:

| 14-6(a+2)=7+a | | 2600=x^2+2x | | 50x³-95x²+26x-9=0 | | 5^−4x=44 | | -10=-14r+14 | | 2a−7=−5 | | y=(4±0.04)-(1±0.02) | | 3/x^2-4/x=4 | | a-1+2a-3= | | 3b*6=62 | | 2/3i-i=-1/3i | | 3y-15=24-7y | | 2x²-9x+13=0 | | -n^2+12=n | | 8=4x+32 | | 50=30(100+20p) | | 5(x-3)(x+1)=0 | | -50=30(100+10p) | | x-0.05x=15045 | | 26/8x=-13/8 | | 3^x+3^(x-1)+3^(x-2)=117 | | 8x6=39 | | 8x6=39+ | | 3/4=150/x | | (4/2y-1)=7-(3/y) | | 3^(0.3x)=386 | | 48-4d=144 | | -16t^2+63t+4.1=0 | | 78+3x/x=2,5 | | (78+3x)/x=2,5 | | 3x-1=-2x-11​ | | 7y-42y+11=95 |

Equations solver categories