X^2+5x*6x*12=180

Solution for X^2+5x*6x*12=180 equation:

X^2+5X*6X*12=180

We move all terms to the left:

X^2+5X*6X*12-(180)=0

Wy multiply elements

X^2+360X^2*1-180=0

Wy multiply elements

X^2+360X^2-180=0

We add all the numbers together, and all the variables

361X^2-180=0

a = 361; b = 0; c = -180;
Δ = b2-4ac
Δ = 02-4·361·(-180)
Δ = 259920
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:

$\sqrt{\Delta}=\sqrt{259920}=\sqrt{51984*5}=\sqrt{51984}*\sqrt{5}=228\sqrt{5}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-228\sqrt{5}}{2*361}=\frac{0-228\sqrt{5}}{722}
=-\frac{228\sqrt{5}}{722}
=-\frac{6\sqrt{5}}{19}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+228\sqrt{5}}{2*361}=\frac{0+228\sqrt{5}}{722}
=\frac{228\sqrt{5}}{722}
=\frac{6\sqrt{5}}{19}
$