1.4x^2-0.7x=0.2

Solution for 1.4x^2-0.7x=0.2 equation:

1.4x^2-0.7x=0.2

We move all terms to the left:

1.4x^2-0.7x-(0.2)=0

We add all the numbers together, and all the variables

1.4x^2-0.7x-0.2=0

a = 1.4; b = -0.7; c = -0.2;
Δ = b2-4ac
Δ = -0.72-4·1.4·(-0.2)
Δ = 1.61
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{-(-0.7)-\sqrt{1.61}}{2*1.4}=\frac{0.7-\sqrt{1.61}}{2.8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-0.7)+\sqrt{1.61}}{2*1.4}=\frac{0.7+\sqrt{1.61}}{2.8}
$