0=4x^2+12.5x+5.25

Solution for 0=4x^2+12.5x+5.25 equation:

0=4x^2+12.5x+5.25

We move all terms to the left:

0-(4x^2+12.5x+5.25)=0

We add all the numbers together, and all the variables

-(4x^2+12.5x+5.25)=0

We get rid of parentheses

-4x^2-12.5x-5.25=0

a = -4; b = -12.5; c = -5.25;
Δ = b2-4ac
Δ = -12.52-4·(-4)·(-5.25)
Δ = 72.25
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{-(-12.5)-\sqrt{72.25}}{2*-4}=\frac{12.5-\sqrt{72.25}}{-8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-12.5)+\sqrt{72.25}}{2*-4}=\frac{12.5+\sqrt{72.25}}{-8}
$