2x=45-(x/3)

Solution for 2x=45-(x/3) equation:

2x=45-(x/3)

We move all terms to the left:

2x-(45-(x/3))=0

We add all the numbers together, and all the variables

2x-(45-(+x/3))=0

We multiply all the terms by the denominator


2x*3))-(45-(+x=0

We add all the numbers together, and all the variables

x+2x*3))-(45-(=0

Wy multiply elements

6x^2+x=0

a = 6; b = 1; c = 0;
Δ = b2-4ac
Δ = 12-4·6·0
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1}=1$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-1}{2*6}=\frac{-2}{12}
=-1/6
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+1}{2*6}=\frac{0}{12}
=0
$