6+.5x=(x2)

Solution for 6+.5x=(x2) equation:

6+.5x=(x2)

We move all terms to the left:

6+.5x-((x2))=0

determiningTheFunctionDomain
.5x-x2+6=0

We add all the numbers together, and all the variables

-1x^2+.5x+6=0

a = -1; b = .5; c = +6;
Δ = b2-4ac
Δ = .52-4·(-1)·6
Δ = 24.25
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{24.25}}{2*-1}=\frac{-0.5-\sqrt{24.25}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(.5)+\sqrt{24.25}}{2*-1}=\frac{-0.5+\sqrt{24.25}}{-2}
$