11*30=15x*32x

Solution for 11*30=15x*32x equation:

11*30=15x*32x

We move all terms to the left:

11*30-(15x*32x)=0

We add all the numbers together, and all the variables

-(+15x*32x)+11*30=0

We add all the numbers together, and all the variables

-(+15x*32x)+330=0

We get rid of parentheses

-15x*32x+330=0

Wy multiply elements

-480x^2+330=0

a = -480; b = 0; c = +330;
Δ = b2-4ac
Δ = 02-4·(-480)·330
Δ = 633600
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:

$\sqrt{\Delta}=\sqrt{633600}=\sqrt{57600*11}=\sqrt{57600}*\sqrt{11}=240\sqrt{11}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-240\sqrt{11}}{2*-480}=\frac{0-240\sqrt{11}}{-960}
=-\frac{240\sqrt{11}}{-960}
=-\frac{\sqrt{11}}{-4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+240\sqrt{11}}{2*-480}=\frac{0+240\sqrt{11}}{-960}
=\frac{240\sqrt{11}}{-960}
=\frac{\sqrt{11}}{-4}
$