-0.0625x^2+2x+50=60

Solution for -0.0625x^2+2x+50=60 equation:

-0.0625x^2+2x+50=60

We move all terms to the left:

-0.0625x^2+2x+50-(60)=0

We add all the numbers together, and all the variables

-0.0625x^2+2x-10=0

a = -0.0625; b = 2; c = -10;
Δ = b2-4ac
Δ = 22-4·(-0.0625)·(-10)
Δ = 1.5
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{-(2)-\sqrt{1.5}}{2*-0.0625}=\frac{-2-\sqrt{1.5}}{-0.125}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+\sqrt{1.5}}{2*-0.0625}=\frac{-2+\sqrt{1.5}}{-0.125}
$