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2700=3x*x
We move all terms to the left:
2700-(3x*x)=0
We add all the numbers together, and all the variables
-(+3x*x)+2700=0
We get rid of parentheses
-3x*x+2700=0
Wy multiply elements
-3x^2+2700=0
a = -3; b = 0; c = +2700;
Δ = b2-4ac
Δ = 02-4·(-3)·2700
Δ = 32400
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{32400}=180$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-180}{2*-3}=\frac{-180}{-6} =+30 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+180}{2*-3}=\frac{180}{-6} =-30 $
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