x=0.1x^2-0.7x+1.4

Solution for x=0.1x^2-0.7x+1.4 equation:

x=0.1x^2-0.7x+1.4

We move all terms to the left:

x-(0.1x^2-0.7x+1.4)=0

We get rid of parentheses

-0.1x^2+x+0.7x-1.4=0

We add all the numbers together, and all the variables

-0.1x^2+1.7x-1.4=0

a = -0.1; b = 1.7; c = -1.4;
Δ = b2-4ac
Δ = 1.72-4·(-0.1)·(-1.4)
Δ = 2.33
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{-(1.7)-\sqrt{2.33}}{2*-0.1}=\frac{-1.7-\sqrt{2.33}}{-0.2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1.7)+\sqrt{2.33}}{2*-0.1}=\frac{-1.7+\sqrt{2.33}}{-0.2}
$