0=2100+180x-3x^2

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Solution for 0=2100+180x-3x^2 equation:



0=2100+180x-3x^2
We move all terms to the left:
0-(2100+180x-3x^2)=0
We add all the numbers together, and all the variables
-(2100+180x-3x^2)=0
We get rid of parentheses
3x^2-180x-2100=0
a = 3; b = -180; c = -2100;
Δ = b2-4ac
Δ = -1802-4·3·(-2100)
Δ = 57600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{57600}=240$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-180)-240}{2*3}=\frac{-60}{6} =-10 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-180)+240}{2*3}=\frac{420}{6} =70 $

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