7x2+3x=-11x

Solution for 7x2+3x=-11x equation:

7x^2+3x=-11x

We move all terms to the left:

7x^2+3x-(-11x)=0

We get rid of parentheses

7x^2+3x+11x=0

We add all the numbers together, and all the variables

7x^2+14x=0

a = 7; b = 14; c = 0;
Δ = b2-4ac
Δ = 142-4·7·0
Δ = 196
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{196}=14$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(14)-14}{2*7}=\frac{-28}{14}
=-2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(14)+14}{2*7}=\frac{0}{14}
=0
$