2/29*x=2x

Solution for 2/29*x=2x equation:

2/29x=2x

We move all terms to the left:

2/29x-(2x)=0


Domain of the equation: 29x!=0

x!=0/29

x!=0

x∈R


We add all the numbers together, and all the variables

-2x+2/29x=0

We multiply all the terms by the denominator


-2x*29x+2=0

Wy multiply elements

-58x^2+2=0

a = -58; b = 0; c = +2;
Δ = b2-4ac
Δ = 02-4·(-58)·2
Δ = 464
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{464}=\sqrt{16*29}=\sqrt{16}*\sqrt{29}=4\sqrt{29}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{29}}{2*-58}=\frac{0-4\sqrt{29}}{-116}
=-\frac{4\sqrt{29}}{-116}
=-\frac{\sqrt{29}}{-29}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{29}}{2*-58}=\frac{0+4\sqrt{29}}{-116}
=\frac{4\sqrt{29}}{-116}
=\frac{\sqrt{29}}{-29}
$