3x*4x=182

Solution for 3x*4x=182 equation:

3x*4x=182

We move all terms to the left:

3x*4x-(182)=0

Wy multiply elements

12x^2-182=0

a = 12; b = 0; c = -182;
Δ = b2-4ac
Δ = 02-4·12·(-182)
Δ = 8736
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:

$\sqrt{\Delta}=\sqrt{8736}=\sqrt{16*546}=\sqrt{16}*\sqrt{546}=4\sqrt{546}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{546}}{2*12}=\frac{0-4\sqrt{546}}{24}
=-\frac{4\sqrt{546}}{24}
=-\frac{\sqrt{546}}{6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{546}}{2*12}=\frac{0+4\sqrt{546}}{24}
=\frac{4\sqrt{546}}{24}
=\frac{\sqrt{546}}{6}
$