x+54=2x(2)

Solution for x+54=2x(2) equation:

x+54=2x(2)

We move all terms to the left:

x+54-(2x(2))=0

determiningTheFunctionDomain
x-2x2+54=0

We add all the numbers together, and all the variables

-2x^2+x+54=0

a = -2; b = 1; c = +54;
Δ = b2-4ac
Δ = 12-4·(-2)·54
Δ = 433
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)-\sqrt{433}}{2*-2}=\frac{-1-\sqrt{433}}{-4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{433}}{2*-2}=\frac{-1+\sqrt{433}}{-4}
$