36x2/3=24

Solution for 36x2/3=24 equation:

36x^2/3=24

We move all terms to the left:

36x^2/3-(24)=0

We multiply all the terms by the denominator


36x^2-24*3=0

We add all the numbers together, and all the variables

36x^2-72=0

a = 36; b = 0; c = -72;
Δ = b2-4ac
Δ = 02-4·36·(-72)
Δ = 10368
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:

$\sqrt{\Delta}=\sqrt{10368}=\sqrt{5184*2}=\sqrt{5184}*\sqrt{2}=72\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-72\sqrt{2}}{2*36}=\frac{0-72\sqrt{2}}{72}
=-\frac{72\sqrt{2}}{72}
=-\sqrt{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+72\sqrt{2}}{2*36}=\frac{0+72\sqrt{2}}{72}
=\frac{72\sqrt{2}}{72}
=\sqrt{2}
$