x2+2.6x+0.45=2x+1

Solution for x2+2.6x+0.45=2x+1 equation:

x2+2.6x+0.45=2x+1

We move all terms to the left:

x2+2.6x+0.45-(2x+1)=0

We add all the numbers together, and all the variables

x^2+2.6x-(2x+1)+0.45=0

We get rid of parentheses

x^2+2.6x-2x-1+0.45=0

We add all the numbers together, and all the variables

x^2+0.6x-0.55=0

a = 1; b = 0.6; c = -0.55;
Δ = b2-4ac
Δ = 0.62-4·1·(-0.55)
Δ = 2.56
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{-(0.6)-\sqrt{2.56}}{2*1}=\frac{-0.6-\sqrt{2.56}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0.6)+\sqrt{2.56}}{2*1}=\frac{-0.6+\sqrt{2.56}}{2}
$