(x*3x)/2=486

Solution for (x*3x)/2=486 equation:

(x*3x)/2=486

We move all terms to the left:

(x*3x)/2-(486)=0

We add all the numbers together, and all the variables

(+x*3x)/2-486=0

We multiply all the terms by the denominator


(+x*3x)-486*2=0

We add all the numbers together, and all the variables

(+x*3x)-972=0

We get rid of parentheses

x*3x-972=0

Wy multiply elements

3x^2-972=0

a = 3; b = 0; c = -972;
Δ = b2-4ac
Δ = 02-4·3·(-972)
Δ = 11664
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{11664}=108$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-108}{2*3}=\frac{-108}{6}
=-18
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+108}{2*3}=\frac{108}{6}
=18
$