45=3x*4x+1

Solution for 45=3x*4x+1 equation:

45=3x*4x+1

We move all terms to the left:

45-(3x*4x+1)=0

We get rid of parentheses

-3x*4x-1+45=0

We add all the numbers together, and all the variables

-3x*4x+44=0

Wy multiply elements

-12x^2+44=0

a = -12; b = 0; c = +44;
Δ = b2-4ac
Δ = 02-4·(-12)·44
Δ = 2112
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:

$\sqrt{\Delta}=\sqrt{2112}=\sqrt{64*33}=\sqrt{64}*\sqrt{33}=8\sqrt{33}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-8\sqrt{33}}{2*-12}=\frac{0-8\sqrt{33}}{-24}
=-\frac{8\sqrt{33}}{-24}
=-\frac{\sqrt{33}}{-3}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+8\sqrt{33}}{2*-12}=\frac{0+8\sqrt{33}}{-24}
=\frac{8\sqrt{33}}{-24}
=\frac{\sqrt{33}}{-3}
$