2x(x-9)=180

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Solution for 2x(x-9)=180 equation:



2x(x-9)=180
We move all terms to the left:
2x(x-9)-(180)=0
We multiply parentheses
2x^2-18x-180=0
a = 2; b = -18; c = -180;
Δ = b2-4ac
Δ = -182-4·2·(-180)
Δ = 1764
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1764}=42$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-18)-42}{2*2}=\frac{-24}{4} =-6 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-18)+42}{2*2}=\frac{60}{4} =15 $

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