.2=(146-x)x

Solution for .2=(146-x)x equation:

.2=(146-x)x

We move all terms to the left:

.2-((146-x)x)=0

We add all the numbers together, and all the variables

-((-1x+146)x)+.2=0

We add all the numbers together, and all the variables

-((-1x+146)x)+0.2=0


We calculate terms in parentheses: -((-1x+146)x), so:

(-1x+146)x

We multiply parentheses

-1x^2+146x

Back to the equation:

-(-1x^2+146x)


We get rid of parentheses

1x^2-146x+0.2=0

We add all the numbers together, and all the variables

x^2-146x+0.2=0

a = 1; b = -146; c = +0.2;
Δ = b2-4ac
Δ = -1462-4·1·0.2
Δ = 21315.2
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{-(-146)-\sqrt{21315.2}}{2*1}=\frac{146-\sqrt{21315.2}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-146)+\sqrt{21315.2}}{2*1}=\frac{146+\sqrt{21315.2}}{2}
$