-3(x+2)5x=-9

Solution for -3(x+2)5x=-9 equation:

-3(x+2)5x=-9

We move all terms to the left:

-3(x+2)5x-(-9)=0

We add all the numbers together, and all the variables

-3(x+2)5x+9=0

We multiply parentheses

-15x^2-30x+9=0

a = -15; b = -30; c = +9;
Δ = b2-4ac
Δ = -302-4·(-15)·9
Δ = 1440
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:

$\sqrt{\Delta}=\sqrt{1440}=\sqrt{144*10}=\sqrt{144}*\sqrt{10}=12\sqrt{10}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-30)-12\sqrt{10}}{2*-15}=\frac{30-12\sqrt{10}}{-30}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-30)+12\sqrt{10}}{2*-15}=\frac{30+12\sqrt{10}}{-30}
$