x=1.3x^2-10.4x+22.8

Solution for x=1.3x^2-10.4x+22.8 equation:

x=1.3x^2-10.4x+22.8

We move all terms to the left:

x-(1.3x^2-10.4x+22.8)=0

We get rid of parentheses

-1.3x^2+x+10.4x-22.8=0

We add all the numbers together, and all the variables

-1.3x^2+11.4x-22.8=0

a = -1.3; b = 11.4; c = -22.8;
Δ = b2-4ac
Δ = 11.42-4·(-1.3)·(-22.8)
Δ = 11.4
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{-(11.4)-\sqrt{11.4}}{2*-1.3}=\frac{-11.4-\sqrt{11.4}}{-2.6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(11.4)+\sqrt{11.4}}{2*-1.3}=\frac{-11.4+\sqrt{11.4}}{-2.6}
$