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-0.33x^2+33.67x+5918.51-6365=0
We add all the numbers together, and all the variables
-0.33x^2+33.67x-446.49=0
a = -0.33; b = 33.67; c = -446.49;
Δ = b2-4ac
Δ = 33.672-4·(-0.33)·(-446.49)
Δ = 544.3021
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{-(33.67)-\sqrt{544.3021}}{2*-0.33}=\frac{-33.67-\sqrt{544.3021}}{-0.66} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(33.67)+\sqrt{544.3021}}{2*-0.33}=\frac{-33.67+\sqrt{544.3021}}{-0.66} $
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