4x*6x=300

Solution for 4x*6x=300 equation:

4x*6x=300

We move all terms to the left:

4x*6x-(300)=0

Wy multiply elements

24x^2-300=0

a = 24; b = 0; c = -300;
Δ = b2-4ac
Δ = 02-4·24·(-300)
Δ = 28800
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:

$\sqrt{\Delta}=\sqrt{28800}=\sqrt{14400*2}=\sqrt{14400}*\sqrt{2}=120\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-120\sqrt{2}}{2*24}=\frac{0-120\sqrt{2}}{48}
=-\frac{120\sqrt{2}}{48}
=-\frac{5\sqrt{2}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+120\sqrt{2}}{2*24}=\frac{0+120\sqrt{2}}{48}
=\frac{120\sqrt{2}}{48}
=\frac{5\sqrt{2}}{2}
$