4x*3x=3000

Solution for 4x*3x=3000 equation:

4x*3x=3000

We move all terms to the left:

4x*3x-(3000)=0

Wy multiply elements

12x^2-3000=0

a = 12; b = 0; c = -3000;
Δ = b2-4ac
Δ = 02-4·12·(-3000)
Δ = 144000
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:

$\sqrt{\Delta}=\sqrt{144000}=\sqrt{14400*10}=\sqrt{14400}*\sqrt{10}=120\sqrt{10}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-120\sqrt{10}}{2*12}=\frac{0-120\sqrt{10}}{24}
=-\frac{120\sqrt{10}}{24}
=-5\sqrt{10}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+120\sqrt{10}}{2*12}=\frac{0+120\sqrt{10}}{24}
=\frac{120\sqrt{10}}{24}
=5\sqrt{10}
$