4x*6x=100

Solution for 4x*6x=100 equation:

4x*6x=100

We move all terms to the left:

4x*6x-(100)=0

Wy multiply elements

24x^2-100=0

a = 24; b = 0; c = -100;
Δ = b2-4ac
Δ = 02-4·24·(-100)
Δ = 9600
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:

$\sqrt{\Delta}=\sqrt{9600}=\sqrt{1600*6}=\sqrt{1600}*\sqrt{6}=40\sqrt{6}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-40\sqrt{6}}{2*24}=\frac{0-40\sqrt{6}}{48}
=-\frac{40\sqrt{6}}{48}
=-\frac{5\sqrt{6}}{6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+40\sqrt{6}}{2*24}=\frac{0+40\sqrt{6}}{48}
=\frac{40\sqrt{6}}{48}
=\frac{5\sqrt{6}}{6}
$