X2+5x=-6x

Solution for X2+5x=-6x equation:

X2+5X=-6X

We move all terms to the left:

X2+5X-(-6X)=0

We add all the numbers together, and all the variables

X^2+5X-(-6X)=0

We get rid of parentheses

X^2+5X+6X=0

We add all the numbers together, and all the variables

X^2+11X=0

a = 1; b = 11; c = 0;
Δ = b2-4ac
Δ = 112-4·1·0
Δ = 121
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{121}=11$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(11)-11}{2*1}=\frac{-22}{2}
=-11
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(11)+11}{2*1}=\frac{0}{2}
=0
$