4x*3x=1000

Solution for 4x*3x=1000 equation:

4x*3x=1000

We move all terms to the left:

4x*3x-(1000)=0

Wy multiply elements

12x^2-1000=0

a = 12; b = 0; c = -1000;
Δ = b2-4ac
Δ = 02-4·12·(-1000)
Δ = 48000
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:

$\sqrt{\Delta}=\sqrt{48000}=\sqrt{1600*30}=\sqrt{1600}*\sqrt{30}=40\sqrt{30}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-40\sqrt{30}}{2*12}=\frac{0-40\sqrt{30}}{24}
=-\frac{40\sqrt{30}}{24}
=-\frac{5\sqrt{30}}{3}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+40\sqrt{30}}{2*12}=\frac{0+40\sqrt{30}}{24}
=\frac{40\sqrt{30}}{24}
=\frac{5\sqrt{30}}{3}
$