36x=5x^2+60x

Solution for 36x=5x^2+60x equation:

36x=5x^2+60x

We move all terms to the left:

36x-(5x^2+60x)=0

We get rid of parentheses

-5x^2+36x-60x=0

We add all the numbers together, and all the variables

-5x^2-24x=0

a = -5; b = -24; c = 0;
Δ = b2-4ac
Δ = -242-4·(-5)·0
Δ = 576
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{576}=24$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-24)-24}{2*-5}=\frac{0}{-10}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-24)+24}{2*-5}=\frac{48}{-10}
=-4+4/5
$