.23=(x-2.823)*(x+0.956)

Solution for .23=(x-2.823)*(x+0.956) equation:

.23=(x-2.823)(x+0.956)

We move all terms to the left:

.23-((x-2.823)(x+0.956))=0

We add all the numbers together, and all the variables

-((x-2.823)(x+0.956))+0.23=0

We multiply parentheses ..

-((+x^2+0.956x-2.823x-2.698788))+0.23=0


We calculate terms in parentheses: -((+x^2+0.956x-2.823x-2.698788)), so:

(+x^2+0.956x-2.823x-2.698788)

We get rid of parentheses

x^2+0.956x-2.823x-2.698788

We add all the numbers together, and all the variables

x^2-1.867x-2.698788

Back to the equation:

-(x^2-1.867x-2.698788)


We get rid of parentheses

-x^2+1.867x+2.698788+0.23=0

We add all the numbers together, and all the variables

-1x^2+1.867x+2.928788=0

a = -1; b = 1.867; c = +2.928788;
Δ = b2-4ac
Δ = 1.8672-4·(-1)·2.928788
Δ = 15.200841
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{-(1.867)-\sqrt{15.200841}}{2*-1}=\frac{-1.867-\sqrt{15.200841}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1.867)+\sqrt{15.200841}}{2*-1}=\frac{-1.867+\sqrt{15.200841}}{-2}
$