-x+26=2(x-2)x=

Solution for -x+26=2(x-2)x= equation:

-x+26=2(x-2)x=

We move all terms to the left:

-x+26-(2(x-2)x)=0

We add all the numbers together, and all the variables

-1x-(2(x-2)x)+26=0


We calculate terms in parentheses: -(2(x-2)x), so:

2(x-2)x

We multiply parentheses

2x^2-4x

Back to the equation:

-(2x^2-4x)


We get rid of parentheses

-2x^2-1x+4x+26=0

We add all the numbers together, and all the variables

-2x^2+3x+26=0

a = -2; b = 3; c = +26;
Δ = b2-4ac
Δ = 32-4·(-2)·26
Δ = 217
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{-(3)-\sqrt{217}}{2*-2}=\frac{-3-\sqrt{217}}{-4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+\sqrt{217}}{2*-2}=\frac{-3+\sqrt{217}}{-4}
$