0.1x^2=1.5

Solution for 0.1x^2=1.5 equation:

0.1x^2=1.5

We move all terms to the left:

0.1x^2-(1.5)=0

We add all the numbers together, and all the variables

0.1x^2-1.5=0

a = 0.1; b = 0; c = -1.5;
Δ = b2-4ac
Δ = 02-4·0.1·(-1.5)
Δ = 0.6
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{-(0)-\sqrt{0.6}}{2*0.1}=\frac{0-\sqrt{0.6}}{0.2}
=-\frac{\sqrt{}}{0.2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{0.6}}{2*0.1}=\frac{0+\sqrt{0.6}}{0.2}
=\frac{\sqrt{}}{0.2}
$