-3(x+9)10x=-34

Solution for -3(x+9)10x=-34 equation:

-3(x+9)10x=-34

We move all terms to the left:

-3(x+9)10x-(-34)=0

We add all the numbers together, and all the variables

-3(x+9)10x+34=0

We multiply parentheses

-30x^2-270x+34=0

a = -30; b = -270; c = +34;
Δ = b2-4ac
Δ = -2702-4·(-30)·34
Δ = 76980
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:

$\sqrt{\Delta}=\sqrt{76980}=\sqrt{4*19245}=\sqrt{4}*\sqrt{19245}=2\sqrt{19245}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-270)-2\sqrt{19245}}{2*-30}=\frac{270-2\sqrt{19245}}{-60}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-270)+2\sqrt{19245}}{2*-30}=\frac{270+2\sqrt{19245}}{-60}
$