(x)^2-0.170(0.054-x)=0

Solution for (x)^2-0.170(0.054-x)=0 equation:

(x)^2-0.170(0.054-x)=0

We add all the numbers together, and all the variables

x^2-0.170(-1x+0.054)=0

We multiply parentheses

x^2+0.17x-0.00918=0

a = 1; b = 0.17; c = -0.00918;
Δ = b2-4ac
Δ = 0.172-4·1·(-0.00918)
Δ = 0.06562
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{-(0.17)-\sqrt{0.06562}}{2*1}=\frac{-0.17-\sqrt{0.06562}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0.17)+\sqrt{0.06562}}{2*1}=\frac{-0.17+\sqrt{0.06562}}{2}
$