7=-0.0625x^2+1.25x+5.75

Solution for 7=-0.0625x^2+1.25x+5.75 equation:

7=-0.0625x^2+1.25x+5.75

We move all terms to the left:

7-(-0.0625x^2+1.25x+5.75)=0

We get rid of parentheses

0.0625x^2-1.25x-5.75+7=0

We add all the numbers together, and all the variables

0.0625x^2-1.25x+1.25=0

a = 0.0625; b = -1.25; c = +1.25;
Δ = b2-4ac
Δ = -1.252-4·0.0625·1.25
Δ = 1.25
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{-(-1.25)-\sqrt{1.25}}{2*0.0625}=\frac{1.25-\sqrt{1.25}}{0.125}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1.25)+\sqrt{1.25}}{2*0.0625}=\frac{1.25+\sqrt{1.25}}{0.125}
$