(-1)=-2x2-4x+54

Solution for (-1)=-2x2-4x+54 equation:

(-1)=-2x^2-4x+54

We move all terms to the left:

(-1)-(-2x^2-4x+54)=0

We add all the numbers together, and all the variables

-(-2x^2-4x+54)-1=0

We get rid of parentheses

2x^2+4x-54-1=0

We add all the numbers together, and all the variables

2x^2+4x-55=0

a = 2; b = 4; c = -55;
Δ = b2-4ac
Δ = 42-4·2·(-55)
Δ = 456
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{456}=\sqrt{4*114}=\sqrt{4}*\sqrt{114}=2\sqrt{114}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(4)-2\sqrt{114}}{2*2}=\frac{-4-2\sqrt{114}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4)+2\sqrt{114}}{2*2}=\frac{-4+2\sqrt{114}}{4}
$