-24-12x=-11x(x+3)

Solution for -24-12x=-11x(x+3) equation:

-24-12x=-11x(x+3)

We move all terms to the left:

-24-12x-(-11x(x+3))=0


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

-11x(x+3)

We multiply parentheses

-11x^2-33x

Back to the equation:

-(-11x^2-33x)


We get rid of parentheses

11x^2+33x-12x-24=0

We add all the numbers together, and all the variables

11x^2+21x-24=0

a = 11; b = 21; c = -24;
Δ = b2-4ac
Δ = 212-4·11·(-24)
Δ = 1497
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{-(21)-\sqrt{1497}}{2*11}=\frac{-21-\sqrt{1497}}{22}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(21)+\sqrt{1497}}{2*11}=\frac{-21+\sqrt{1497}}{22}
$