2x-35x+1/2x-46x=360

Solution for 2x-35x+1/2x-46x=360 equation:

2x-35x+1/2x-46x=360

We move all terms to the left:

2x-35x+1/2x-46x-(360)=0


Domain of the equation: 2x!=0

x!=0/2

x!=0

x∈R


We add all the numbers together, and all the variables

-79x+1/2x-360=0

We multiply all the terms by the denominator


-79x*2x-360*2x+1=0

Wy multiply elements

-158x^2-720x+1=0

a = -158; b = -720; c = +1;
Δ = b2-4ac
Δ = -7202-4·(-158)·1
Δ = 519032
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:

$\sqrt{\Delta}=\sqrt{519032}=\sqrt{4*129758}=\sqrt{4}*\sqrt{129758}=2\sqrt{129758}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-720)-2\sqrt{129758}}{2*-158}=\frac{720-2\sqrt{129758}}{-316}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-720)+2\sqrt{129758}}{2*-158}=\frac{720+2\sqrt{129758}}{-316}
$