0=-0.065x^2+1.25x+5.75

Solution for 0=-0.065x^2+1.25x+5.75 equation:

0=-0.065x^2+1.25x+5.75

We move all terms to the left:

0-(-0.065x^2+1.25x+5.75)=0

We add all the numbers together, and all the variables

-(-0.065x^2+1.25x+5.75)=0

We get rid of parentheses

0.065x^2-1.25x-5.75=0

a = 0.065; b = -1.25; c = -5.75;
Δ = b2-4ac
Δ = -1.252-4·0.065·(-5.75)
Δ = 3.0575
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{3.0575}}{2*0.065}=\frac{1.25-\sqrt{3.0575}}{0.13}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1.25)+\sqrt{3.0575}}{2*0.065}=\frac{1.25+\sqrt{3.0575}}{0.13}
$