-3x^2+261x-2700=0

Solution for -3x^2+261x-2700=0 equation:

-3x^2+261x-2700=0

a = -3; b = 261; c = -2700;
Δ = b2-4ac
Δ = 2612-4·(-3)·(-2700)
Δ = 35721
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{35721}=189$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(261)-189}{2*-3}=\frac{-450}{-6}
=+75
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(261)+189}{2*-3}=\frac{-72}{-6}
=+12
$