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-30x^2-30x+180=0
a = -30; b = -30; c = +180;
Δ = b2-4ac
Δ = -302-4·(-30)·180
Δ = 22500
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{22500}=150$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-30)-150}{2*-30}=\frac{-120}{-60} =+2 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-30)+150}{2*-30}=\frac{180}{-60} =-3 $
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