x*(0.01x^2-1.5)=0

Solution for x*(0.01x^2-1.5)=0 equation:

x(0.01x^2-1.5)=0

We multiply parentheses

0x^2-1.5x=0

We add all the numbers together, and all the variables

x^2-1.5x=0

a = 1; b = -1.5; c = 0;
Δ = b2-4ac
Δ = -1.52-4·1·0
Δ = 2.25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1.5)-\sqrt{2.25}}{2*1}=\frac{1.5-\sqrt{2.25}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1.5)+\sqrt{2.25}}{2*1}=\frac{1.5+\sqrt{2.25}}{2}
$