-11+1=-5x(x+6)

Solution for -11+1=-5x(x+6) equation:

-11+1=-5x(x+6)

We move all terms to the left:

-11+1-(-5x(x+6))=0

We add all the numbers together, and all the variables

-(-5x(x+6))-10=0


We calculate terms in parentheses: -(-5x(x+6)), so:

-5x(x+6)

We multiply parentheses

-5x^2-30x

Back to the equation:

-(-5x^2-30x)


We get rid of parentheses

5x^2+30x-10=0

a = 5; b = 30; c = -10;
Δ = b2-4ac
Δ = 302-4·5·(-10)
Δ = 1100
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:

$\sqrt{\Delta}=\sqrt{1100}=\sqrt{100*11}=\sqrt{100}*\sqrt{11}=10\sqrt{11}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(30)-10\sqrt{11}}{2*5}=\frac{-30-10\sqrt{11}}{10}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(30)+10\sqrt{11}}{2*5}=\frac{-30+10\sqrt{11}}{10}
$