1.5=0.0001x^2-0.0283x+2.229

Solution for 1.5=0.0001x^2-0.0283x+2.229 equation:

1.5=0.0001x^2-0.0283x+2.229

We move all terms to the left:

1.5-(0.0001x^2-0.0283x+2.229)=0

We get rid of parentheses

-0.0001x^2+0.0283x-2.229+1.5=0

We add all the numbers together, and all the variables

-0.0001x^2+0.0283x-0.729=0

a = -0.0001; b = 0.0283; c = -0.729;
Δ = b2-4ac
Δ = 0.02832-4·(-0.0001)·(-0.729)
Δ = 0.00050929
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{-(0.0283)-\sqrt{0.00050929}}{2*-0.0001}=\frac{-0.0283-\sqrt{0.00050929}}{-0.0002}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0.0283)+\sqrt{0.00050929}}{2*-0.0001}=\frac{-0.0283+\sqrt{0.00050929}}{-0.0002}
$