x=-15x^2+60x

Solution for x=-15x^2+60x equation:

x=-15x^2+60x

We move all terms to the left:

x-(-15x^2+60x)=0

We get rid of parentheses

15x^2-60x+x=0

We add all the numbers together, and all the variables

15x^2-59x=0

a = 15; b = -59; c = 0;
Δ = b2-4ac
Δ = -592-4·15·0
Δ = 3481
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3481}=59$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-59)-59}{2*15}=\frac{0}{30}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-59)+59}{2*15}=\frac{118}{30}
=3+14/15
$