60*x=5x*6x

Solution for 60*x=5x*6x equation:

60x=5x*6x

We move all terms to the left:

60x-(5x*6x)=0

We add all the numbers together, and all the variables

60x-(+5x*6x)=0

We get rid of parentheses

60x-5x*6x=0

Wy multiply elements

-30x^2+60x=0

a = -30; b = 60; c = 0;
Δ = b2-4ac
Δ = 602-4·(-30)·0
Δ = 3600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3600}=60$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(60)-60}{2*-30}=\frac{-120}{-60}
=+2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(60)+60}{2*-30}=\frac{0}{-60}
=0
$