302=4x*3x

Solution for 302=4x*3x equation:

302=4x*3x

We move all terms to the left:

302-(4x*3x)=0

We add all the numbers together, and all the variables

-(+4x*3x)+302=0

We get rid of parentheses

-4x*3x+302=0

Wy multiply elements

-12x^2+302=0

a = -12; b = 0; c = +302;
Δ = b2-4ac
Δ = 02-4·(-12)·302
Δ = 14496
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:

$\sqrt{\Delta}=\sqrt{14496}=\sqrt{16*906}=\sqrt{16}*\sqrt{906}=4\sqrt{906}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{906}}{2*-12}=\frac{0-4\sqrt{906}}{-24}
=-\frac{4\sqrt{906}}{-24}
=-\frac{\sqrt{906}}{-6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{906}}{2*-12}=\frac{0+4\sqrt{906}}{-24}
=\frac{4\sqrt{906}}{-24}
=\frac{\sqrt{906}}{-6}
$