.5x^2+.5x+0=15

Solution for .5x^2+.5x+0=15 equation:

.5x^2+.5x+0=15

We move all terms to the left:

.5x^2+.5x+0-(15)=0

We add all the numbers together, and all the variables

.5x^2+.5x-15=0

a = .5; b = .5; c = -15;
Δ = b2-4ac
Δ = .52-4·.5·(-15)
Δ = 30.25
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{-(.5)-\sqrt{30.25}}{2*.5}=\frac{-0.5-\sqrt{30.25}}{1}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(.5)+\sqrt{30.25}}{2*.5}=\frac{-0.5+\sqrt{30.25}}{1}
$