0.00787x^2-1.528x+75.89=3

Solution for 0.00787x^2-1.528x+75.89=3 equation:

0.00787x^2-1.528x+75.89=3

We move all terms to the left:

0.00787x^2-1.528x+75.89-(3)=0

We add all the numbers together, and all the variables

0.00787x^2-1.528x+72.89=0

a = 0.00787; b = -1.528; c = +72.89;
Δ = b2-4ac
Δ = -1.5282-4·0.00787·72.89
Δ = 0.0402068
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{-(-1.528)-\sqrt{0.0402068}}{2*0.00787}=\frac{1.528-\sqrt{0.0402068}}{0.01574}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1.528)+\sqrt{0.0402068}}{2*0.00787}=\frac{1.528+\sqrt{0.0402068}}{0.01574}
$