y=0.075X^2+3.325X-1.4

Solution for y=0.075X^2+3.325X-1.4 equation:

y=0.075y^2+3.325y-1.4

We move all terms to the left:

y-(0.075y^2+3.325y-1.4)=0

We get rid of parentheses

-0.075y^2+y-3.325y+1.4=0

We add all the numbers together, and all the variables

-0.075y^2-2.325y+1.4=0

a = -0.075; b = -2.325; c = +1.4;
Δ = b2-4ac
Δ = -2.3252-4·(-0.075)·1.4
Δ = 5.825625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2.325)-\sqrt{5.825625}}{2*-0.075}=\frac{2.325-\sqrt{5.825625}}{-0.15}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2.325)+\sqrt{5.825625}}{2*-0.075}=\frac{2.325+\sqrt{5.825625}}{-0.15}
$