0=-0.23x^2+1.87x+1.5

Solution for 0=-0.23x^2+1.87x+1.5 equation:

0=-0.23x^2+1.87x+1.5

We move all terms to the left:

0-(-0.23x^2+1.87x+1.5)=0

We add all the numbers together, and all the variables

-(-0.23x^2+1.87x+1.5)=0

We get rid of parentheses

0.23x^2-1.87x-1.5=0

a = 0.23; b = -1.87; c = -1.5;
Δ = b2-4ac
Δ = -1.872-4·0.23·(-1.5)
Δ = 4.8769
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{-(-1.87)-\sqrt{4.8769}}{2*0.23}=\frac{1.87-\sqrt{4.8769}}{0.46}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1.87)+\sqrt{4.8769}}{2*0.23}=\frac{1.87+\sqrt{4.8769}}{0.46}
$