(.7x(102.2/1.26)+0.3)=x

Solution for (.7x(102.2/1.26)+0.3)=x equation:

(.7x(102.2/1.26)+0.3)=x

We move all terms to the left:

(.7x(102.2/1.26)+0.3)-(x)=0

We add all the numbers together, and all the variables

(.7x(+102.2/1.26)+0.3)-x=0

We add all the numbers together, and all the variables

-1x+(.7x(+102.2/1.26)+0.3)=0

We multiply all the terms by the denominator


-1x*1.26)+0.3)+(.7x(+102.2=0

Wy multiply elements

-1x^2+102.2=0

a = -1; b = 0; c = +102.2;
Δ = b2-4ac
Δ = 02-4·(-1)·102.2
Δ = 408.8
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)-\sqrt{408.8}}{2*-1}=\frac{0-\sqrt{408.8}}{-2}
=-\frac{\sqrt{}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{408.8}}{2*-1}=\frac{0+\sqrt{408.8}}{-2}
=\frac{\sqrt{}}{-2}
$