11x2=-77x

Solution for 11x2=-77x equation:

11x^2=-77x

We move all terms to the left:

11x^2-(-77x)=0

We get rid of parentheses

11x^2+77x=0

a = 11; b = 77; c = 0;
Δ = b2-4ac
Δ = 772-4·11·0
Δ = 5929
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{5929}=77$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(77)-77}{2*11}=\frac{-154}{22}
=-7
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(77)+77}{2*11}=\frac{0}{22}
=0
$