1/2g-1.5=0.5g-1.5

Solution for 1/2g-1.5=0.5g-1.5 equation:

1/2g-1.5=0.5g-1.5

We move all terms to the left:

1/2g-1.5-(0.5g-1.5)=0


Domain of the equation: 2g!=0

g!=0/2

g!=0

g∈R


We get rid of parentheses

1/2g-0.5g+1.5-1.5=0

We multiply all the terms by the denominator


-(0.5g)*2g+(1.5)*2g-(1.5)*2g+1=0

We add all the numbers together, and all the variables

-(+0.5g)*2g+(1.5)*2g-(1.5)*2g+1=0

We multiply parentheses

-0g^2+3g-3g+1=0

We add all the numbers together, and all the variables

-1g^2+1=0

a = -1; b = 0; c = +1;
Δ = b2-4ac
Δ = 02-4·(-1)·1
Δ = 4
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$g_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$g_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4}=2$
$g_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2}{2*-1}=\frac{-2}{-2}
=1
$
$g_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2}{2*-1}=\frac{2}{-2}
=-1
$