9.5=(x^2)-3x=10.5

Solution for 9.5=(x^2)-3x=10.5 equation:

9.5=(x^2)-3x=10.5

We move all terms to the left:

9.5-((x^2)-3x)=0

We get rid of parentheses

-x^2+3x+9.5=0

We add all the numbers together, and all the variables

-1x^2+3x+9.5=0

a = -1; b = 3; c = +9.5;
Δ = b2-4ac
Δ = 32-4·(-1)·9.5
Δ = 47
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{-(3)-\sqrt{47}}{2*-1}=\frac{-3-\sqrt{47}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+\sqrt{47}}{2*-1}=\frac{-3+\sqrt{47}}{-2}
$