4x^2+1.25x=0.375

Solution for 4x^2+1.25x=0.375 equation:

4x^2+1.25x=0.375

We move all terms to the left:

4x^2+1.25x-(0.375)=0

We add all the numbers together, and all the variables

4x^2+1.25x-0.375=0

a = 4; b = 1.25; c = -0.375;
Δ = b2-4ac
Δ = 1.252-4·4·(-0.375)
Δ = 7.5625
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{-(1.25)-\sqrt{7.5625}}{2*4}=\frac{-1.25-\sqrt{7.5625}}{8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1.25)+\sqrt{7.5625}}{2*4}=\frac{-1.25+\sqrt{7.5625}}{8}
$