60x=1.5x^2

Solution for 60x=1.5x^2 equation:

60x=1.5x^2

We move all terms to the left:

60x-(1.5x^2)=0

We get rid of parentheses

-1.5x^2+60x=0

a = -1.5; b = 60; c = 0;
Δ = b2-4ac
Δ = 602-4·(-1.5)·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*-1.5}=\frac{-120}{-3}
=+40
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(60)+60}{2*-1.5}=\frac{0}{-3}
=0
$