4x*3x=240

Solution for 4x*3x=240 equation:

4x*3x=240

We move all terms to the left:

4x*3x-(240)=0

Wy multiply elements

12x^2-240=0

a = 12; b = 0; c = -240;
Δ = b2-4ac
Δ = 02-4·12·(-240)
Δ = 11520
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:

$\sqrt{\Delta}=\sqrt{11520}=\sqrt{2304*5}=\sqrt{2304}*\sqrt{5}=48\sqrt{5}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-48\sqrt{5}}{2*12}=\frac{0-48\sqrt{5}}{24}
=-\frac{48\sqrt{5}}{24}
=-2\sqrt{5}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+48\sqrt{5}}{2*12}=\frac{0+48\sqrt{5}}{24}
=\frac{48\sqrt{5}}{24}
=2\sqrt{5}
$