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-3(x^2+46x-360)=0
We multiply parentheses
-3x^2-138x+1080=0
a = -3; b = -138; c = +1080;
Δ = b2-4ac
Δ = -1382-4·(-3)·1080
Δ = 32004
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{32004}=\sqrt{36*889}=\sqrt{36}*\sqrt{889}=6\sqrt{889}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-138)-6\sqrt{889}}{2*-3}=\frac{138-6\sqrt{889}}{-6} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-138)+6\sqrt{889}}{2*-3}=\frac{138+6\sqrt{889}}{-6} $
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