(x)=6x^2-12-90

Solution for (x)=6x^2-12-90 equation:

(x)=6x^2-12-90

We move all terms to the left:

(x)-(6x^2-12-90)=0

We get rid of parentheses

-6x^2+x+12+90=0

We add all the numbers together, and all the variables

-6x^2+x+102=0

a = -6; b = 1; c = +102;
Δ = b2-4ac
Δ = 12-4·(-6)·102
Δ = 2449
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{-(1)-\sqrt{2449}}{2*-6}=\frac{-1-\sqrt{2449}}{-12}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{2449}}{2*-6}=\frac{-1+\sqrt{2449}}{-12}
$