3(x*x)-11(x)-30=0

Solution for 3(x*x)-11(x)-30=0 equation:

3(x*x)-11(x)-30=0

We add all the numbers together, and all the variables

3(+x*x)-11x-30=0

We add all the numbers together, and all the variables

-11x+3(+x*x)-30=0

We multiply parentheses

3x^2-11x-30=0

a = 3; b = -11; c = -30;
Δ = b2-4ac
Δ = -112-4·3·(-30)
Δ = 481
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{-(-11)-\sqrt{481}}{2*3}=\frac{11-\sqrt{481}}{6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-11)+\sqrt{481}}{2*3}=\frac{11+\sqrt{481}}{6}
$