x=2x^2-6(16)

Solution for x=2x^2-6(16) equation:

x=2x^2-6(16)

We move all terms to the left:

x-(2x^2-6(16))=0

We get rid of parentheses

-2x^2+x+616=0

a = -2; b = 1; c = +616;
Δ = b2-4ac
Δ = 12-4·(-2)·616
Δ = 4929
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{4929}}{2*-2}=\frac{-1-\sqrt{4929}}{-4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{4929}}{2*-2}=\frac{-1+\sqrt{4929}}{-4}
$