(-1)=-7x^2-4x

Solution for (-1)=-7x^2-4x equation:

(-1)=-7x^2-4x

We move all terms to the left:

(-1)-(-7x^2-4x)=0

We add all the numbers together, and all the variables

-(-7x^2-4x)-1=0

We get rid of parentheses

7x^2+4x-1=0

a = 7; b = 4; c = -1;
Δ = b2-4ac
Δ = 42-4·7·(-1)
Δ = 44
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:

$\sqrt{\Delta}=\sqrt{44}=\sqrt{4*11}=\sqrt{4}*\sqrt{11}=2\sqrt{11}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(4)-2\sqrt{11}}{2*7}=\frac{-4-2\sqrt{11}}{14}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4)+2\sqrt{11}}{2*7}=\frac{-4+2\sqrt{11}}{14}
$