-3x2+175=-267

Solution for -3x2+175=-267 equation:

-3x^2+175=-267

We move all terms to the left:

-3x^2+175-(-267)=0

We add all the numbers together, and all the variables

-3x^2+442=0

a = -3; b = 0; c = +442;
Δ = b2-4ac
Δ = 02-4·(-3)·442
Δ = 5304
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{5304}=\sqrt{4*1326}=\sqrt{4}*\sqrt{1326}=2\sqrt{1326}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{1326}}{2*-3}=\frac{0-2\sqrt{1326}}{-6}
=-\frac{2\sqrt{1326}}{-6}
=-\frac{\sqrt{1326}}{-3}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{1326}}{2*-3}=\frac{0+2\sqrt{1326}}{-6}
=\frac{2\sqrt{1326}}{-6}
=\frac{\sqrt{1326}}{-3}
$