x^2-3.625x=-2.5

Solution for x^2-3.625x=-2.5 equation:

x^2-3.625x=-2.5

We move all terms to the left:

x^2-3.625x-(-2.5)=0

We add all the numbers together, and all the variables

x^2-3.625x+2.5=0

a = 1; b = -3.625; c = +2.5;
Δ = b2-4ac
Δ = -3.6252-4·1·2.5
Δ = 3.140625
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{-(-3.625)-\sqrt{3.140625}}{2*1}=\frac{3.625-\sqrt{3.140625}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3.625)+\sqrt{3.140625}}{2*1}=\frac{3.625+\sqrt{3.140625}}{2}
$