X(x/3)=972

Solution for X(x/3)=972 equation:

X(X/3)=972

We move all terms to the left:

X(X/3)-(972)=0

We add all the numbers together, and all the variables

X(+X/3)-972=0

We multiply parentheses

X^2-972=0

a = 1; b = 0; c = -972;
Δ = b2-4ac
Δ = 02-4·1·(-972)
Δ = 3888
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:

$\sqrt{\Delta}=\sqrt{3888}=\sqrt{1296*3}=\sqrt{1296}*\sqrt{3}=36\sqrt{3}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-36\sqrt{3}}{2*1}=\frac{0-36\sqrt{3}}{2}
=-\frac{36\sqrt{3}}{2}
=-18\sqrt{3}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+36\sqrt{3}}{2*1}=\frac{0+36\sqrt{3}}{2}
=\frac{36\sqrt{3}}{2}
=18\sqrt{3}
$