x2-1.4x+0.49=0.35

Solution for x2-1.4x+0.49=0.35 equation:

x2-1.4x+0.49=0.35

We move all terms to the left:

x2-1.4x+0.49-(0.35)=0

We add all the numbers together, and all the variables

x^2-1.4x+0.14=0

a = 1; b = -1.4; c = +0.14;
Δ = b2-4ac
Δ = -1.42-4·1·0.14
Δ = 1.4
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{-(-1.4)-\sqrt{1.4}}{2*1}=\frac{1.4-\sqrt{1.4}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1.4)+\sqrt{1.4}}{2*1}=\frac{1.4+\sqrt{1.4}}{2}
$