0.1x^2-0.6x=0.7

Solution for 0.1x^2-0.6x=0.7 equation:

0.1x^2-0.6x=0.7

We move all terms to the left:

0.1x^2-0.6x-(0.7)=0

We add all the numbers together, and all the variables

0.1x^2-0.6x-0.7=0

a = 0.1; b = -0.6; c = -0.7;
Δ = b2-4ac
Δ = -0.62-4·0.1·(-0.7)
Δ = 0.64
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{0.64}}{2*0.1}=\frac{0.6-\sqrt{0.64}}{0.2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-0.6)+\sqrt{0.64}}{2*0.1}=\frac{0.6+\sqrt{0.64}}{0.2}
$