12*5=4x*x

Solution for 12*5=4x*x equation:

12*5=4x*x

We move all terms to the left:

12*5-(4x*x)=0

We add all the numbers together, and all the variables

-(+4x*x)+12*5=0

We add all the numbers together, and all the variables

-(+4x*x)+60=0

We get rid of parentheses

-4x*x+60=0

Wy multiply elements

-4x^2+60=0

a = -4; b = 0; c = +60;
Δ = b2-4ac
Δ = 02-4·(-4)·60
Δ = 960
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:

$\sqrt{\Delta}=\sqrt{960}=\sqrt{64*15}=\sqrt{64}*\sqrt{15}=8\sqrt{15}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-8\sqrt{15}}{2*-4}=\frac{0-8\sqrt{15}}{-8}
=-\frac{8\sqrt{15}}{-8}
=-\frac{\sqrt{15}}{-1}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+8\sqrt{15}}{2*-4}=\frac{0+8\sqrt{15}}{-8}
=\frac{8\sqrt{15}}{-8}
=\frac{\sqrt{15}}{-1}
$