12x^2+30x=150

Solution for 12x^2+30x=150 equation:

12x^2+30x=150

We move all terms to the left:

12x^2+30x-(150)=0

a = 12; b = 30; c = -150;
Δ = b2-4ac
Δ = 302-4·12·(-150)
Δ = 8100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{8100}=90$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(30)-90}{2*12}=\frac{-120}{24}
=-5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(30)+90}{2*12}=\frac{60}{24}
=2+1/2
$