-30x^2-30x+180=0

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Solution for -30x^2-30x+180=0 equation:



-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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