5x*3x+5x*3x+305x*3x+30=360

Solution for 5x*3x+5x*3x+305x*3x+30=360 equation:

5x*3x+5x*3x+305x*3x+30=360

We move all terms to the left:

5x*3x+5x*3x+305x*3x+30-(360)=0

We add all the numbers together, and all the variables

5x*3x+5x*3x+305x*3x-330=0

Wy multiply elements

15x^2+15x^2+915x^2-330=0

We add all the numbers together, and all the variables

945x^2-330=0

a = 945; b = 0; c = -330;
Δ = b2-4ac
Δ = 02-4·945·(-330)
Δ = 1247400
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:

$\sqrt{\Delta}=\sqrt{1247400}=\sqrt{8100*154}=\sqrt{8100}*\sqrt{154}=90\sqrt{154}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-90\sqrt{154}}{2*945}=\frac{0-90\sqrt{154}}{1890}
=-\frac{90\sqrt{154}}{1890}
=-\frac{\sqrt{154}}{21}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+90\sqrt{154}}{2*945}=\frac{0+90\sqrt{154}}{1890}
=\frac{90\sqrt{154}}{1890}
=\frac{\sqrt{154}}{21}
$