(x)=-3x^2+75

Solution for (x)=-3x^2+75 equation:

(x)=-3x^2+75

We move all terms to the left:

(x)-(-3x^2+75)=0

We get rid of parentheses

3x^2+x-75=0

a = 3; b = 1; c = -75;
Δ = b2-4ac
Δ = 12-4·3·(-75)
Δ = 901
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{901}}{2*3}=\frac{-1-\sqrt{901}}{6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{901}}{2*3}=\frac{-1+\sqrt{901}}{6}
$