4x*3x=154

Solution for 4x*3x=154 equation:

4x*3x=154

We move all terms to the left:

4x*3x-(154)=0

Wy multiply elements

12x^2-154=0

a = 12; b = 0; c = -154;
Δ = b2-4ac
Δ = 02-4·12·(-154)
Δ = 7392
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:

$\sqrt{\Delta}=\sqrt{7392}=\sqrt{16*462}=\sqrt{16}*\sqrt{462}=4\sqrt{462}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{462}}{2*12}=\frac{0-4\sqrt{462}}{24}
=-\frac{4\sqrt{462}}{24}
=-\frac{\sqrt{462}}{6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{462}}{2*12}=\frac{0+4\sqrt{462}}{24}
=\frac{4\sqrt{462}}{24}
=\frac{\sqrt{462}}{6}
$