154=6x*8x

Solution for 154=6x*8x equation:

154=6x*8x

We move all terms to the left:

154-(6x*8x)=0

We add all the numbers together, and all the variables

-(+6x*8x)+154=0

We get rid of parentheses

-6x*8x+154=0

Wy multiply elements

-48x^2+154=0

a = -48; b = 0; c = +154;
Δ = b2-4ac
Δ = 02-4·(-48)·154
Δ = 29568
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:

$\sqrt{\Delta}=\sqrt{29568}=\sqrt{64*462}=\sqrt{64}*\sqrt{462}=8\sqrt{462}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-8\sqrt{462}}{2*-48}=\frac{0-8\sqrt{462}}{-96}
=-\frac{8\sqrt{462}}{-96}
=-\frac{\sqrt{462}}{-12}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+8\sqrt{462}}{2*-48}=\frac{0+8\sqrt{462}}{-96}
=\frac{8\sqrt{462}}{-96}
=\frac{\sqrt{462}}{-12}
$