2(x*3)=3(x/2)

Solution for 2(x*3)=3(x/2) equation:

2(x*3)=3(x/2)

We move all terms to the left:

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

We add all the numbers together, and all the variables

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

We multiply parentheses

6x-(3(+x/2))=0

We multiply all the terms by the denominator


6x*2))-(3(+x=0

We add all the numbers together, and all the variables

x+6x*2))-(3(=0

Wy multiply elements

12x^2+x=0

a = 12; b = 1; c = 0;
Δ = b2-4ac
Δ = 12-4·12·0
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*12}=\frac{-2}{24}
=-1/12
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+1}{2*12}=\frac{0}{24}
=0
$