2x*3x+3=146

Solution for 2x*3x+3=146 equation:

2x*3x+3=146

We move all terms to the left:

2x*3x+3-(146)=0

We add all the numbers together, and all the variables

2x*3x-143=0

Wy multiply elements

6x^2-143=0

a = 6; b = 0; c = -143;
Δ = b2-4ac
Δ = 02-4·6·(-143)
Δ = 3432
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:

$\sqrt{\Delta}=\sqrt{3432}=\sqrt{4*858}=\sqrt{4}*\sqrt{858}=2\sqrt{858}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{858}}{2*6}=\frac{0-2\sqrt{858}}{12}
=-\frac{2\sqrt{858}}{12}
=-\frac{\sqrt{858}}{6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{858}}{2*6}=\frac{0+2\sqrt{858}}{12}
=\frac{2\sqrt{858}}{12}
=\frac{\sqrt{858}}{6}
$