-x^2-0.767x+0.08=0

Solution for -x^2-0.767x+0.08=0 equation:

-x^2-0.767x+0.08=0

We add all the numbers together, and all the variables

-1x^2-0.767x+0.08=0

a = -1; b = -0.767; c = +0.08;
Δ = b2-4ac
Δ = -0.7672-4·(-1)·0.08
Δ = 0.908289
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{-(-0.767)-\sqrt{0.908289}}{2*-1}=\frac{0.767-\sqrt{0.908289}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-0.767)+\sqrt{0.908289}}{2*-1}=\frac{0.767+\sqrt{0.908289}}{-2}
$