-5=-3x(x+11)

Solution for -5=-3x(x+11) equation:

-5=-3x(x+11)

We move all terms to the left:

-5-(-3x(x+11))=0


We calculate terms in parentheses: -(-3x(x+11)), so:

-3x(x+11)

We multiply parentheses

-3x^2-33x

Back to the equation:

-(-3x^2-33x)


We get rid of parentheses

3x^2+33x-5=0

a = 3; b = 33; c = -5;
Δ = b2-4ac
Δ = 332-4·3·(-5)
Δ = 1149
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{-(33)-\sqrt{1149}}{2*3}=\frac{-33-\sqrt{1149}}{6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(33)+\sqrt{1149}}{2*3}=\frac{-33+\sqrt{1149}}{6}
$