2x-2/2x=0.60

Solution for 2x-2/2x=0.60 equation:

2x-2/2x=0.60

We move all terms to the left:

2x-2/2x-(0.60)=0


Domain of the equation: 2x!=0

x!=0/2

x!=0

x∈R


We add all the numbers together, and all the variables

2x-2/2x-(0.6)=0

We add all the numbers together, and all the variables

2x-2/2x-0.6=0

We multiply all the terms by the denominator


2x*2x-(0.6)*2x-2=0

We multiply parentheses

2x*2x-1.2x-2=0

Wy multiply elements

4x^2-1.2x-2=0

a = 4; b = -1.2; c = -2;
Δ = b2-4ac
Δ = -1.22-4·4·(-2)
Δ = 33.44
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1.2)-\sqrt{33.44}}{2*4}=\frac{1.2-\sqrt{33.44}}{8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1.2)+\sqrt{33.44}}{2*4}=\frac{1.2+\sqrt{33.44}}{8}
$