5x*3x+30=360

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

5x*3x+30=360

We move all terms to the left:

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

We add all the numbers together, and all the variables

5x*3x-330=0

Wy multiply elements

15x^2-330=0

a = 15; b = 0; c = -330;
Δ = b2-4ac
Δ = 02-4·15·(-330)
Δ = 19800
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:

$\sqrt{\Delta}=\sqrt{19800}=\sqrt{900*22}=\sqrt{900}*\sqrt{22}=30\sqrt{22}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-30\sqrt{22}}{2*15}=\frac{0-30\sqrt{22}}{30}
=-\frac{30\sqrt{22}}{30}
=-\sqrt{22}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+30\sqrt{22}}{2*15}=\frac{0+30\sqrt{22}}{30}
=\frac{30\sqrt{22}}{30}
=\sqrt{22}
$